131452461504 has 1008 divisors, whose sum is σ = 495014707200. Its totient is φ = 33286256640.

The previous prime is 131452461463. The next prime is 131452461521. The reversal of 131452461504 is 405164254131.

131452461504 is a `hidden beast` number, since 1 + 3 + 14 + 5 + 24 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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, 1035058689 + ... + 1035058815.

Almost surely, 2^131452461504 is an apocalyptic number.

131452461504 is a gapful number since it is divisible by the number (14) 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 131452461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247507353600).

131452461504 is an abundant number, since it is smaller than the sum of its proper divisors (363562245696).

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

131452461504 is a wasteful number, since it uses less digits than its factorization.

131452461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 131452461504 in words is "one hundred thirty-one billion, four hundred fifty-two million, four hundred sixty-one thousand, five hundred four".