131512346240 has 128 divisors (see below), whose sum is σ = 345598799040. Its totient is φ = 47457280000.

The previous prime is 131512346237. The next prime is 131512346263. The reversal of 131512346240 is 42643215131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131512346197 and 131512346206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850940 + ... + 993540.

Almost surely, 2^131512346240 is an apocalyptic number.

131512346240 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 131512346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172799399520).

131512346240 is an abundant number, since it is smaller than the sum of its proper divisors (214086452800).

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

131512346240 is a wasteful number, since it uses less digits than its factorization.

131512346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142762 (or 142750 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 131512346240 in words is "one hundred thirty-one billion, five hundred twelve million, three hundred forty-six thousand, two hundred forty".