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132537787920 = 243351031913119
BaseRepresentation
bin111101101101111011…
…1100010011000010000
3110200002210020020012000
41323123313202120100
54132414133203140
6140515332434000
712401260415646
oct1733367423020
9420083206160
10132537787920
115123314281a
122182a778900
13c6628a49a5
1465b4555196
1536aaa55a30
hex1edbde2610

132537787920 has 320 divisors, whose sum is σ = 463513190400. Its totient is φ = 34805859840.

The previous prime is 132537787919. The next prime is 132537787951. The reversal of 132537787920 is 29787735231.

132537787920 is a `hidden beast` number, since 1 + 3 + 2 + 537 + 7 + 87 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42492121 + ... + 42495239.

It is an arithmetic number, because the mean of its divisors is an integer number (1448478720).

Almost surely, 2132537787920 is an apocalyptic number.

132537787920 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 132537787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231756595200).

132537787920 is an abundant number, since it is smaller than the sum of its proper divisors (330975402480).

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

132537787920 is a wasteful number, since it uses less digits than its factorization.

132537787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 132537787920 in words is "one hundred thirty-two billion, five hundred thirty-seven million, seven hundred eighty-seven thousand, nine hundred twenty".