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132145188 = 22373121637
BaseRepresentation
bin1111110000001…
…10000000100100
3100012122200010020
413320012000210
5232312121223
621040155140
73163133640
oct770060044
9305580106
10132145188
11686576aa
1238308ab0
13214ba026
141379bc20
15b9041e3
hex7e06024

132145188 has 72 divisors (see below), whose sum is σ = 364343616. Its totient is φ = 36515520.

The previous prime is 132145183. The next prime is 132145207. The reversal of 132145188 is 881541231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132145183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79906 + ... + 81542.

It is an arithmetic number, because the mean of its divisors is an integer number (5060328).

Almost surely, 2132145188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132145188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182171808).

132145188 is an abundant number, since it is smaller than the sum of its proper divisors (232198428).

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

132145188 is a wasteful number, since it uses less digits than its factorization.

132145188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1680 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 132145188 is about 11495.4420532662. The cubic root of 132145188 is about 509.3509467257.

The spelling of 132145188 in words is "one hundred thirty-two million, one hundred forty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1637 1922 2604 2883 3274 3844 4911 5766 6548 6727 9822 11459 11532 13454 19644 20181 22918 26908 34377 40362 45836 50747 68754 80724 101494 137508 152241 202988 304482 355229 608964 710458 1065687 1420916 1573157 2131374 3146314 4262748 4719471 6292628 9438942 11012099 18877884 22024198 33036297 44048396 66072594 132145188