137043153 has 24 divisors (see below), whose sum is σ = 218946728. Its totient is φ = 82052352.

The previous prime is 137043121. The next prime is 137043169. The reversal of 137043153 is 351340731.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 114318864 = 4767^2 + 10692^2 .

It is not a de Polignac number, because 137043153 - 2⁵ = 137043121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137043113) 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, 11500 + ... + 20157.

Almost surely, 2^137043153 is an apocalyptic number.

137043153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137043153 is a deficient number, since it is larger than the sum of its proper divisors (81903575).

137043153 is a wasteful number, since it uses less digits than its factorization.

137043153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31713 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137043153 is about 11706.5431703813. The cubic root of 137043153 is about 515.5677942927.

Adding to 137043153 its reverse (351340731), we get a palindrome (488383884).

The spelling of 137043153 in words is "one hundred thirty-seven million, forty-three thousand, one hundred fifty-three".