137162952 has 24 divisors (see below), whose sum is σ = 371483190. Its totient is φ = 45720960.

The previous prime is 137162951. The next prime is 137163017. The reversal of 137162952 is 259261731.

It can be written as a sum of positive squares in only one way, i.e., 106626276 + 30536676 = 10326^2 + 5526^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137162951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 952449 + ... + 952592.

Almost surely, 2^137162952 is an apocalyptic number.

137162952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137162952 is an abundant number, since it is smaller than the sum of its proper divisors (234320238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137162952 is a wasteful number, since it uses less digits than its factorization.

137162952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905053 (or 1905046 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 137162952 is about 11711.6588065056. The cubic root of 137162952 is about 515.7179818213.

The spelling of 137162952 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, nine hundred fifty-two".