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132974136 = 23341712071
BaseRepresentation
bin1111110110100…
…00011000111000
3100021012210020000
413323100120320
5233020133021
621110033000
73203155461
oct773203070
9307183200
10132974136
1169073489
1238648760
132171a429
1413935d68
15ba19b26
hex7ed0638

132974136 has 80 divisors (see below), whose sum is σ = 394392240. Its totient is φ = 41713920.

The previous prime is 132974131. The next prime is 132974161. The reversal of 132974136 is 631479231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132974136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132974131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4981 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (4929903).

Almost surely, 2132974136 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 132974136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197196120).

132974136 is an abundant number, since it is smaller than the sum of its proper divisors (261418104).

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

132974136 is a wasteful number, since it uses less digits than its factorization.

132974136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 12093 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 132974136 is about 11531.4411935369. The cubic root of 132974136 is about 510.4137818398.

The spelling of 132974136 in words is "one hundred thirty-two million, nine hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 12071 24142 36213 48284 72426 96568 108639 144852 205207 217278 289704 325917 410414 434556 615621 651834 820828 869112 977751 1231242 1303668 1641656 1846863 1955502 2462484 2607336 3693726 3911004 4924968 5540589 7387452 7822008 11081178 14774904 16621767 22162356 33243534 44324712 66487068 132974136