137950848 has 96 divisors (see below), whose sum is σ = 453704160. Its totient is φ = 39412224.

The previous prime is 137950847. The next prime is 137950859. The reversal of 137950848 is 848059731.

137950848 is a `hidden beast` number, since 137 + 9 + 508 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (137950847) 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 11 ways as a sum of consecutive naturals, for example, 490 + ... + 16617.

It is an arithmetic number, because the mean of its divisors is an integer number (4726085).

Almost surely, 2^137950848 is an apocalyptic number.

137950848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226852080).

137950848 is an abundant number, since it is smaller than the sum of its proper divisors (315753312).

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

137950848 is a wasteful number, since it uses less digits than its factorization.

137950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17134 (or 17119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 137950848 is about 11745.2478901043. The cubic root of 137950848 is about 516.7035652223.

The spelling of 137950848 in words is "one hundred thirty-seven million, nine hundred fifty thousand, eight hundred forty-eight".