137501375125 has 32 divisors (see below), whose sum is σ = 172704980448. Its totient is φ = 109296000000.

The previous prime is 137501375107. The next prime is 137501375147. The reversal of 137501375125 is 521573105731.

It can be written as a sum of positive squares in 16 ways, for example, as 52474897476 + 85026477649 = 229074^2 + 291593^2 .

It is not a de Polignac number, because 137501375125 - 2¹¹ = 137501373077 is a prime.

It is a super-2 number, since 2×137501375125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 13882675 + ... + 13892575.

It is an arithmetic number, because the mean of its divisors is an integer number (5397030639).

Almost surely, 2^137501375125 is an apocalyptic number.

It is an amenable number.

137501375125 is a deficient number, since it is larger than the sum of its proper divisors (35203605323).

137501375125 is an equidigital number, since it uses as much as digits as its factorization.

137501375125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10618 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 137501375125 in words is "one hundred thirty-seven billion, five hundred one million, three hundred seventy-five thousand, one hundred twenty-five".