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132129372 = 22317647693
BaseRepresentation
bin1111110000000…
…10001001011100
3100012121212102110
413320002021130
5232311114442
621035554020
73163036554
oct770021134
9305555373
10132129372
1168646831
12382bb910
13214b2a7b
1413796164
15b8ee69c
hex7e0225c

132129372 has 24 divisors (see below), whose sum is σ = 326437776. Its totient is φ = 41452288.

The previous prime is 132129353. The next prime is 132129373. The reversal of 132129372 is 273921231.

It is a super-2 number, since 2×1321293722 = 34916341890228768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132129373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323643 + ... + 324050.

It is an arithmetic number, because the mean of its divisors is an integer number (13601574).

Almost surely, 2132129372 is an apocalyptic number.

132129372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132129372 is an abundant number, since it is smaller than the sum of its proper divisors (194308404).

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

132129372 is a wasteful number, since it uses less digits than its factorization.

132129372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647717 (or 647715 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 132129372 is about 11494.7541078529. The cubic root of 132129372 is about 509.3306250979.

The spelling of 132129372 in words is "one hundred thirty-two million, one hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 647693 1295386 1943079 2590772 3886158 7772316 11010781 22021562 33032343 44043124 66064686 132129372