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145130132 = 227193773101
BaseRepresentation
bin10001010011010…
…00001010010100
3101010002101010002
420221220022110
5244123131012
622222350432
73411404630
oct1051501224
9333071102
10145130132
1174a16464
124072b418
13240b5424
14153bbdc0
15cb1b7c2
hex8a68294

145130132 has 96 divisors (see below), whose sum is σ = 321242880. Its totient is φ = 55987200.

The previous prime is 145130131. The next prime is 145130137. The reversal of 145130132 is 231031541.

It is a super-3 number, since 3×1451301323 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145130131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436882 + ... + 1436982.

It is an arithmetic number, because the mean of its divisors is an integer number (3346280).

Almost surely, 2145130132 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 145130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160621440).

145130132 is an abundant number, since it is smaller than the sum of its proper divisors (176112748).

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

145130132 is a wasteful number, since it uses less digits than its factorization.

145130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 145130132 is about 12046.9968041832. The cubic root of 145130132 is about 525.5159034514.

Adding to 145130132 its reverse (231031541), we get a palindrome (376161673).

The spelling of 145130132 in words is "one hundred forty-five million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 37 38 73 74 76 101 133 146 148 202 259 266 292 404 511 518 532 703 707 1022 1036 1387 1406 1414 1919 2044 2701 2774 2812 2828 3737 3838 4921 5402 5548 7373 7474 7676 9709 9842 10804 13433 14746 14948 18907 19418 19684 26159 26866 29492 37814 38836 51319 51611 52318 53732 71003 75628 102638 103222 104636 140087 142006 205276 206444 272801 280174 284012 359233 497021 545602 560348 718466 980609 994042 1091204 1436932 1909607 1961218 1988084 3819214 3922436 5183219 7638428 10366438 20732876 36282533 72565066 145130132