131425873920 has 1664 divisors, whose sum is σ = 570691215360. Its totient is φ = 28311552000.

The previous prime is 131425873897. The next prime is 131425873933. The reversal of 131425873920 is 29378524131.

It is a happy number.

131425873920 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 258 + 7 + 392 + 0 = 666.

It is a super-3 number, since 3×131425873920³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3205509100 + ... + 3205509140.

Almost surely, 2^131425873920 is an apocalyptic number.

131425873920 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 131425873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285345607680).

131425873920 is an abundant number, since it is smaller than the sum of its proper divisors (439265341440).

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

131425873920 is a wasteful number, since it uses less digits than its factorization.

131425873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

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

The spelling of 131425873920 in words is "one hundred thirty-one billion, four hundred twenty-five million, eight hundred seventy-three thousand, nine hundred twenty".