131254010253440 has 64 divisors (see below), whose sum is σ = 313793731327320. Its totient is φ = 52499159040000.

The previous prime is 131254010253437. The next prime is 131254010253463. The reversal of 131254010253440 is 44352010452131.

It can be written as a sum of positive squares in 4 ways, for example, as 125257819794496 + 5996190458944 = 11191864^2 + 2448712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×131254010253440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131254010253440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9008690 + ... + 18538190.

Almost surely, 2^{131254010253440} is an apocalyptic number.

131254010253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131254010253440 is an abundant number, since it is smaller than the sum of its proper divisors (182539721073880).

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

131254010253440 is an equidigital number, since it uses as much as digits as its factorization.

131254010253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551041 (or 9551029 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 131254010253440 in words is "one hundred thirty-one trillion, two hundred fifty-four billion, ten million, two hundred fifty-three thousand, four hundred forty".