137473875 has 192 divisors, whose sum is σ = 331269120. Its totient is φ = 54648000.

The previous prime is 137473867. The next prime is 137473877. The reversal of 137473875 is 578374731.

137473875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137473875 - 2³ = 137473867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (493920) is a multiple of the sum of its prime divisors (49).

It is a self number, because there is not a number n which added to its sum of digits gives 137473875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137473877) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5977114 + ... + 5977136.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2^137473875 is an apocalyptic number.

137473875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137473875 is an abundant number, since it is smaller than the sum of its proper divisors (193795245).

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

137473875 is a wasteful number, since it uses less digits than its factorization.

137473875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 137473875 is about 11724.9253728968. The cubic root of 137473875 is about 516.1073667873.

The spelling of 137473875 in words is "one hundred thirty-seven million, four hundred seventy-three thousand, eight hundred seventy-five".