137336953 has 8 divisors (see below), whose sum is σ = 153001800. Its totient is φ = 122400768.

The previous prime is 137336951. The next prime is 137336981. The reversal of 137336953 is 359633731.

137336953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 123587689 = 3708^2 + 11117^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137336953 - 2¹ = 137336951 is a prime.

It is a super-2 number, since 2×137336953² = 37722877318648418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137336951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181768 + ... + 182521.

It is an arithmetic number, because the mean of its divisors is an integer number (19125225).

Almost surely, 2^137336953 is an apocalyptic number.

137336953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137336953 is a deficient number, since it is larger than the sum of its proper divisors (15664847).

137336953 is a wasteful number, since it uses less digits than its factorization.

137336953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364331.

The product of its digits is 153090, while the sum is 40.

The square root of 137336953 is about 11719.0849898787. The cubic root of 137336953 is about 515.9359647015.

The spelling of 137336953 in words is "one hundred thirty-seven million, three hundred thirty-six thousand, nine hundred fifty-three".