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161131152 = 24371337997
BaseRepresentation
bin10011001101010…
…10101010010000
3102020012022101110
421212222222100
5312222144102
623553333320
73664410060
oct1146525220
9366168343
10161131152
1182a55246
1245b67240
13274c85a0
14175853a0
15e22c86c
hex99aaa90

161131152 has 160 divisors (see below), whose sum is σ = 526688512. Its totient is φ = 41306112.

The previous prime is 161131147. The next prime is 161131213. The reversal of 161131152 is 251131161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161118 + ... + 162114.

Almost surely, 2161131152 is an apocalyptic number.

161131152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263344256).

161131152 is an abundant number, since it is smaller than the sum of its proper divisors (365557360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161131152 is a wasteful number, since it uses less digits than its factorization.

161131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its digits is 180, while the sum is 21.

The square root of 161131152 is about 12693.7446011805. The cubic root of 161131152 is about 544.1598614667.

Subtracting 161131152 from its reverse (251131161), we obtain a palindrome (90000009).

The spelling of 161131152 in words is "one hundred sixty-one million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 997 1036 1092 1443 1456 1554 1776 1924 1994 2072 2184 2886 2991 3108 3367 3848 3988 4144 4368 5772 5982 6216 6734 6979 7696 7976 10101 11544 11964 12432 12961 13468 13958 15952 20202 20937 23088 23928 25922 26936 27916 36889 38883 40404 41874 47856 51844 53872 55832 73778 77766 80808 83748 90727 103688 110667 111664 147556 155532 161616 167496 181454 207376 221334 258223 272181 295112 311064 334992 362908 442668 479557 516446 544362 590224 622128 725816 774669 885336 959114 1032892 1088724 1438671 1451632 1549338 1770672 1918228 2065784 2177448 2877342 3098676 3356899 3836456 4131568 4354896 5754684 6197352 6713798 7672912 10070697 11509368 12394704 13427596 20141394 23018736 26855192 40282788 53710384 80565576 161131152