137513025 has 48 divisors (see below), whose sum is σ = 272065920. Its totient is φ = 67694400.

The previous prime is 137512997. The next prime is 137513039. The reversal of 137513025 is 520315731.

137513025 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 137513025 - 2⁶ = 137512961 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137513025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940 + ... + 16610.

It is an arithmetic number, because the mean of its divisors is an integer number (5668040).

Almost surely, 2^137513025 is an apocalyptic number.

137513025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137513025 is a deficient number, since it is larger than the sum of its proper divisors (134552895).

137513025 is a wasteful number, since it uses less digits than its factorization.

137513025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703 (or 15692 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 137513025 is about 11726.5947742727. The cubic root of 137513025 is about 516.1563547269.

Adding to 137513025 its reverse (520315731), we get a palindrome (657828756).

It can be divided in two parts, 1375 and 13025, that added together give a square (14400 = 120²).

The spelling of 137513025 in words is "one hundred thirty-seven million, five hundred thirteen thousand, twenty-five".