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132115660500 = 22353314761991
BaseRepresentation
bin111101100001010110…
…1001111111011010100
3110122000100220221020010
41323002231033323110
54131033102114000
6140405413040220
712354643404525
oct1730255177324
9418010827203
10132115660500
115103693418a
1221731326070
13c5c62b6855
14657447084c
153683970d50
hex1ec2b4fed4

132115660500 has 384 divisors, whose sum is σ = 412645588992. Its totient is φ = 32788800000.

The previous prime is 132115660489. The next prime is 132115660517. The reversal of 132115660500 is 5066511231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133315005 + ... + 133315995.

It is an arithmetic number, because the mean of its divisors is an integer number (1074597888).

Almost surely, 2132115660500 is an apocalyptic number.

132115660500 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 132115660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206322794496).

132115660500 is an abundant number, since it is smaller than the sum of its proper divisors (280529928492).

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

132115660500 is a wasteful number, since it uses less digits than its factorization.

132115660500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 132115660500 in words is "one hundred thirty-two billion, one hundred fifteen million, six hundred sixty thousand, five hundred".