137625153 has 16 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 89766144.

The previous prime is 137625143. The next prime is 137625157. The reversal of 137625153 is 351526731.

137625153 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 137625153 - 2¹⁴ = 137608769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137625157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67848 + ... + 69846.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^137625153 is an apocalyptic number.

It is an amenable number.

137625153 is a deficient number, since it is larger than the sum of its proper divisors (49862847).

137625153 is a wasteful number, since it uses less digits than its factorization.

137625153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488.

The product of its digits is 18900, while the sum is 33.

The square root of 137625153 is about 11731.3747276268. The cubic root of 137625153 is about 516.2966077595.

It can be divided in two parts, 13762 and 5153, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 137625153 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, one hundred fifty-three".