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132151301360340 = 223510188139116329
BaseRepresentation
bin11110000011000011011111…
…010111111100101011010100
3122022220112121102001121101120
4132003003133113330223110
5114310131331122012330
61145021245244123540
736556421304435333
oct3603033727745324
9568815542047346
10132151301360340
1139120063493479
12129a39835365b0
135897a77b8bbc2
14248c22b195d1a
15104285a513c10
hex7830df5fcad4

132151301360340 has 192 divisors, whose sum is σ = 374266188817920. Its totient is φ = 34837411840000.

The previous prime is 132151301360327. The next prime is 132151301360347. The reversal of 132151301360340 is 43063103151231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132151301360347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20880278296 + ... + 20880284624.

It is an arithmetic number, because the mean of its divisors is an integer number (1949303066760).

Almost surely, 2132151301360340 is an apocalyptic number.

132151301360340 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 132151301360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187133094408960).

132151301360340 is an abundant number, since it is smaller than the sum of its proper divisors (242114887457580).

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

132151301360340 is a wasteful number, since it uses less digits than its factorization.

132151301360340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 132151301360340 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, three hundred one million, three hundred sixty thousand, three hundred forty".