131906142600 has 48 divisors (see below), whose sum is σ = 408909043920. Its totient is φ = 35174971200.

The previous prime is 131906142581. The next prime is 131906142619. The reversal of 131906142600 is 6241609131.

It is an interprime number because it is at equal distance from previous prime (131906142581) and next prime (131906142619).

It is a super-2 number, since 2×131906142600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109921186 + ... + 109922385.

It is an arithmetic number, because the mean of its divisors is an integer number (8518938415).

Almost surely, 2^131906142600 is an apocalyptic number.

131906142600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131906142600 is an abundant number, since it is smaller than the sum of its proper divisors (277002901320).

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

131906142600 is a wasteful number, since it uses less digits than its factorization.

131906142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219843590 (or 219843581 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 131906142600 in words is "one hundred thirty-one billion, nine hundred six million, one hundred forty-two thousand, six hundred".