131374895040 has 336 divisors, whose sum is σ = 491007928320. Its totient is φ = 32118405120.

The previous prime is 131374895033. The next prime is 131374895123. The reversal of 131374895040 is 40598473131.

131374895040 is a `hidden beast` number, since 1 + 3 + 137 + 4 + 8 + 9 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657597 + ... + 1735043.

It is an arithmetic number, because the mean of its divisors is an integer number (1461333120).

Almost surely, 2^131374895040 is an apocalyptic number.

131374895040 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 131374895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245503964160).

131374895040 is an abundant number, since it is smaller than the sum of its proper divisors (359633033280).

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

131374895040 is a wasteful number, since it uses less digits than its factorization.

131374895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77520 (or 77507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 131374895040 in words is "one hundred thirty-one billion, three hundred seventy-four million, eight hundred ninety-five thousand, forty".