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132725664 = 25321727109
BaseRepresentation
bin1111110100100…
…11101110100000
3100020202011101100
413322103232200
5232434210124
621100434400
73201102201
oct772235640
9306664340
10132725664
1168a13835
1238548a00
13216612c6
14138ad5a8
15b9bb1c9
hex7e93ba0

132725664 has 72 divisors (see below), whose sum is σ = 399655620. Its totient is φ = 41637888.

The previous prime is 132725657. The next prime is 132725669. The reversal of 132725664 is 466527231.

It can be written as a sum of positive squares in 2 ways, for example, as 132434064 + 291600 = 11508^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1327256642 = 35232203768481792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132725669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8659 + ... + 18450.

Almost surely, 2132725664 is an apocalyptic number.

It is an amenable number.

132725664 is an abundant number, since it is smaller than the sum of its proper divisors (266929956).

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

132725664 is a wasteful number, since it uses less digits than its factorization.

132725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27142 (or 27131 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 132725664 is about 11520.6624809513. The cubic root of 132725664 is about 510.0956683274.

The spelling of 132725664 in words is "one hundred thirty-two million, seven hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 27109 54218 81327 108436 162654 216872 243981 325308 433744 460853 487962 650616 867488 921706 975924 1301232 1382559 1843412 1951848 2602464 2765118 3686824 3903696 4147677 5530236 7373648 7807392 8295354 11060472 14747296 16590708 22120944 33181416 44241888 66362832 132725664