131150456400 has 240 divisors, whose sum is σ = 446371430400. Its totient is φ = 32822484480.

The previous prime is 131150456387. The next prime is 131150456449. The reversal of 131150456400 is 4654051131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2412721 + ... + 2466479.

It is an arithmetic number, because the mean of its divisors is an integer number (1859880960).

Almost surely, 2^131150456400 is an apocalyptic number.

131150456400 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 131150456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223185715200).

131150456400 is an abundant number, since it is smaller than the sum of its proper divisors (315220974000).

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

131150456400 is a wasteful number, since it uses less digits than its factorization.

131150456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53906 (or 53895 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 131150456400 in words is "one hundred thirty-one billion, one hundred fifty million, four hundred fifty-six thousand, four hundred".