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131155150855680 = 293457300130109
BaseRepresentation
bin11101110100100011110000…
…001011010101111000000000
3122012101022100222010210210000
4131310203300023111320000
5114142321222104340210
61142535502225440000
736424434622031640
oct3564436013257000
9565338328123700
10131155150855680
11388766504a5396
12128628b67a0000
135824b5429a273
142455d2c0c6520
1510269a6be3ac0
hex7748f02d5e00

131155150855680 has 800 divisors, whose sum is σ = 537061084908480. Its totient is φ = 29967335424000.

The previous prime is 131155150855567. The next prime is 131155150855681. The reversal of 131155150855680 is 86558051551131.

It is a happy number.

131155150855680 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 5 + 1 + 5 + 0 + 8 + 556 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155150855681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4355996466 + ... + 4356026574.

Almost surely, 2131155150855680 is an apocalyptic number.

131155150855680 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 131155150855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268530542454240).

131155150855680 is an abundant number, since it is smaller than the sum of its proper divisors (405905934052800).

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

131155150855680 is an equidigital number, since it uses as much as digits as its factorization.

131155150855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33152 (or 33127 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 54.

The spelling of 131155150855680 in words is "one hundred thirty-one trillion, one hundred fifty-five billion, one hundred fifty million, eight hundred fifty-five thousand, six hundred eighty".