137236907025 has 27 divisors (see below), whose sum is σ = 245816502321. Its totient is φ = 73190053440.

The previous prime is 137236906981. The next prime is 137236907047. The reversal of 137236907025 is 520709632731.

The square root of 137236907025 is 370455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20920440321 + 116316466704 = 144639^2 + 341052^2 .

It is not a de Polignac number, because 137236907025 - 2¹⁷ = 137236775953 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5544477 + ... + 5569173.

Almost surely, 2^137236907025 is an apocalyptic number.

137236907025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137236907025 is the 370455-th square number.

137236907025 is the 185228-th centered octagonal number.

It is an amenable number.

137236907025 is a deficient number, since it is larger than the sum of its proper divisors (108579595296).

137236907025 is an frugal number, since it uses more digits than its factorization.

137236907025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49410 (or 24705 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 137236907025 in words is "one hundred thirty-seven billion, two hundred thirty-six million, nine hundred seven thousand, twenty-five".