131146135400 has 192 divisors, whose sum is σ = 352177459200. Its totient is φ = 44489168640.

The previous prime is 131146135381. The next prime is 131146135427. The reversal of 131146135400 is 4531641131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55877027 + ... + 55879373.

It is an arithmetic number, because the mean of its divisors is an integer number (1834257600).

Almost surely, 2^131146135400 is an apocalyptic number.

131146135400 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 131146135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176088729600).

131146135400 is an abundant number, since it is smaller than the sum of its proper divisors (221031323800).

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

131146135400 is a wasteful number, since it uses less digits than its factorization.

131146135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 131146135400 its reverse (4531641131), we get a palindrome (135677776531).

The spelling of 131146135400 in words is "one hundred thirty-one billion, one hundred forty-six million, one hundred thirty-five thousand, four hundred".