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132194880 = 26325197233
BaseRepresentation
bin1111110000100…
…10001001000000
3100012202012021200
413320102021000
5232320214010
621041221200
73163431546
oct770221100
9305665250
10132194880
1168690a74
1238331800
132150682c
14137b1d96
15b913cc0
hex7e12240

132194880 has 168 divisors, whose sum is σ = 458964792. Its totient is φ = 34922496.

The previous prime is 132194831. The next prime is 132194891. The reversal of 132194880 is 88491231.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 103550976 = 5352^2 + 10176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567244 + ... + 567476.

Almost surely, 2132194880 is an apocalyptic number.

132194880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229482396).

132194880 is an abundant number, since it is smaller than the sum of its proper divisors (326769912).

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

132194880 is a wasteful number, since it uses less digits than its factorization.

132194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 132194880 is about 11497.6032284994. The cubic root of 132194880 is about 509.4147843266.

The spelling of 132194880 in words is "one hundred thirty-two million, one hundred ninety-four thousand, eight hundred eighty".