137162848 has 72 divisors (see below), whose sum is σ = 289324224. Its totient is φ = 63936000.

The previous prime is 137162833. The next prime is 137162863. The reversal of 137162848 is 848261731.

It is an interprime number because it is at equal distance from previous prime (137162833) and next prime (137162863).

It is a super-2 number, since 2×137162848² = 37627293742942208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137162848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357998 + ... + 1358098.

It is an arithmetic number, because the mean of its divisors is an integer number (4018392).

Almost surely, 2^137162848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137162848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144662112).

137162848 is an abundant number, since it is smaller than the sum of its proper divisors (152161376).

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

137162848 is a wasteful number, since it uses less digits than its factorization.

137162848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 171 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 137162848 is about 11711.6543664847. The cubic root of 137162848 is about 515.7178514783.

The spelling of 137162848 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, eight hundred forty-eight".