131627426040 has 384 divisors, whose sum is σ = 483690916800. Its totient is φ = 30750720000.

The previous prime is 131627426009. The next prime is 131627426053. The reversal of 131627426040 is 40624726131.

131627426040 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 7 + 42 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131627425986 and 131627426004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101173390 + ... + 101174690.

Almost surely, 2^131627426040 is an apocalyptic number.

131627426040 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 131627426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845458400).

131627426040 is an abundant number, since it is smaller than the sum of its proper divisors (352063490760).

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

131627426040 is a wasteful number, since it uses less digits than its factorization.

131627426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 131627426040 in words is "one hundred thirty-one billion, six hundred twenty-seven million, four hundred twenty-six thousand, forty".