131124911616 has 160 divisors (see below), whose sum is σ = 397607364000. Its totient is φ = 42642063360.

The previous prime is 131124911597. The next prime is 131124911623. The reversal of 131124911616 is 616119421131.

It is a happy number.

131124911616 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 491 + 161 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 451110 + ... + 682458.

It is an arithmetic number, because the mean of its divisors is an integer number (2485046025).

Almost surely, 2^131124911616 is an apocalyptic number.

131124911616 is a gapful number since it is divisible by the number (16) 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 131124911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198803682000).

131124911616 is an abundant number, since it is smaller than the sum of its proper divisors (266482452384).

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

131124911616 is an equidigital number, since it uses as much as digits as its factorization.

131124911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231417 (or 231395 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 131124911616 in words is "one hundred thirty-one billion, one hundred twenty-four million, nine hundred eleven thousand, six hundred sixteen".