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132697152 = 2632732911
BaseRepresentation
bin1111110100011…
…00110001000000
3100020200201021100
413322030301000
5232432302102
621100054400
73200623110
oct772146100
9306621240
10132697152
11689a4375
1238534400
1321651333
14138a3040
15b9b2a1c
hex7e8cc40

132697152 has 84 divisors (see below), whose sum is σ = 434701696. Its totient is φ = 37912320.

The previous prime is 132697141. The next prime is 132697153. The reversal of 132697152 is 251796231.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1326971522 = 35217068297822208, 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 (132697153) 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, 12424 + ... + 20487.

Almost surely, 2132697152 is an apocalyptic number.

132697152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132697152 is an abundant number, since it is smaller than the sum of its proper divisors (302004544).

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

132697152 is a wasteful number, since it uses less digits than its factorization.

132697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32936 (or 32923 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132697152 is about 11519.4249856492. The cubic root of 132697152 is about 510.0591396240.

The spelling of 132697152 in words is "one hundred thirty-two million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32911 65822 98733 131644 197466 230377 263288 296199 394932 460754 526576 592398 691131 789864 921508 1053152 1184796 1382262 1579728 1843016 2073393 2106304 2369592 2764524 3159456 3686032 4146786 4739184 5529048 6318912 7372064 8293572 9478368 11058096 14744128 16587144 18956736 22116192 33174288 44232384 66348576 132697152