131753025144 has 128 divisors (see below), whose sum is σ = 394450963200. Its totient is φ = 40506687360.

The previous prime is 131753025137. The next prime is 131753025203. The reversal of 131753025144 is 441520357131.

131753025144 is a `hidden beast` number, since 1 + 31 + 7 + 530 + 2 + 51 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131753025099 and 131753025108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3584379 + ... + 3620949.

It is an arithmetic number, because the mean of its divisors is an integer number (3081648150).

Almost surely, 2^131753025144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131753025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197225481600).

131753025144 is an abundant number, since it is smaller than the sum of its proper divisors (262697938056).

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

131753025144 is a wasteful number, since it uses less digits than its factorization.

131753025144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37882 (or 37872 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 131753025144 in words is "one hundred thirty-one billion, seven hundred fifty-three million, twenty-five thousand, one hundred forty-four".