137879142975 has 48 divisors (see below), whose sum is σ = 289473258240. Its totient is φ = 63030463200.

The previous prime is 137879142967. The next prime is 137879142977. The reversal of 137879142975 is 579241978731.

137879142975 is a `hidden beast` number, since 1 + 3 + 78 + 79 + 1 + 429 + 75 = 666.

It is not a de Polignac number, because 137879142975 - 2³ = 137879142967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137879142977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14585661 + ... + 14595110.

It is an arithmetic number, because the mean of its divisors is an integer number (6030692880).

Almost surely, 2^137879142975 is an apocalyptic number.

137879142975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137879142975 is an abundant number, since it is smaller than the sum of its proper divisors (151594115265).

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

137879142975 is a wasteful number, since it uses less digits than its factorization.

137879142975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29180797 (or 29180786 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 137879142975 in words is "one hundred thirty-seven billion, eight hundred seventy-nine million, one hundred forty-two thousand, nine hundred seventy-five".