137625075 has 180 divisors, whose sum is σ = 316434360. Its totient is φ = 58786560.

The previous prime is 137625053. The next prime is 137625079. The reversal of 137625075 is 570526731.

It is not a de Polignac number, because 137625075 - 2⁶ = 137625011 is a prime.

It is a super-2 number, since 2×137625075² = 37881322537511250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137625079) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1885239 + ... + 1885311.

Almost surely, 2^137625075 is an apocalyptic number.

137625075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137625075 is an abundant number, since it is smaller than the sum of its proper divisors (178809285).

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

137625075 is a wasteful number, since it uses less digits than its factorization.

137625075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 137625075 is about 11731.3714032077. The cubic root of 137625075 is about 516.2965102212.

The spelling of 137625075 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, seventy-five".