131954084010 has 288 divisors, whose sum is σ = 422573448960. Its totient is φ = 28405230336.

The previous prime is 131954083999. The next prime is 131954084021. The reversal of 131954084010 is 10480459131.

131954084010 is a `hidden beast` number, since 1 + 31 + 9 + 540 + 84 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131954083999) and next prime (131954084021).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14491119 + ... + 14500221.

It is an arithmetic number, because the mean of its divisors is an integer number (1467268920).

Almost surely, 2^131954084010 is an apocalyptic number.

131954084010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131954084010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211286724480).

131954084010 is an abundant number, since it is smaller than the sum of its proper divisors (290619364950).

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

131954084010 is a wasteful number, since it uses less digits than its factorization.

131954084010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 131954084010 in words is "one hundred thirty-one billion, nine hundred fifty-four million, eighty-four thousand, ten".