137483583074253 has 24 divisors (see below), whose sum is σ = 221237949780120. Its totient is φ = 81687858376320.

The previous prime is 137483583074239. The next prime is 137483583074267. The reversal of 137483583074253 is 352470385384731.

137483583074253 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 8 + 3 + 583 + 0 + 7 + 42 + 5 + 3 = 666.

137483583074253 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137483583074239) and next prime (137483583074267).

It can be written as a sum of positive squares in 4 ways, for example, as 24683826031524 + 112799757042729 = 4968282^2 + 10620723^2 .

It is not a de Polignac number, because 137483583074253 - 2⁵ = 137483583074221 is a prime.

It is a super-2 number, since 2×137483583074253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137483583074273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20259882118 + ... + 20259888903.

It is an arithmetic number, because the mean of its divisors is an integer number (9218247907505).

Almost surely, 2^{137483583074253} is an apocalyptic number.

137483583074253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137483583074253 is a deficient number, since it is larger than the sum of its proper divisors (83754366705867).

137483583074253 is a wasteful number, since it uses less digits than its factorization.

137483583074253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519771069 (or 40519771066 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 137483583074253 in words is "one hundred thirty-seven trillion, four hundred eighty-three billion, five hundred eighty-three million, seventy-four thousand, two hundred fifty-three".