137253204 has 126 divisors (see below), whose sum is σ = 396857370. Its totient is φ = 41484960.

The previous prime is 137253197. The next prime is 137253209. The reversal of 137253204 is 402352731.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 35283600 = 10098^2 + 5940^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137253209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352642 + ... + 353030.

Almost surely, 2^137253204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137253204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198428685).

137253204 is an abundant number, since it is smaller than the sum of its proper divisors (259604166).

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

137253204 is a wasteful number, since it uses less digits than its factorization.

137253204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 137253204 is about 11715.5112564497. The cubic root of 137253204 is about 515.8310696333.

The spelling of 137253204 in words is "one hundred thirty-seven million, two hundred fifty-three thousand, two hundred four".