137085048 has 96 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 45295200.

The previous prime is 137085029. The next prime is 137085089. The reversal of 137085048 is 840580731.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 293311 + ... + 293777.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^137085048 is an apocalyptic number.

137085048 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 137085048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

137085048 is an abundant number, since it is smaller than the sum of its proper divisors (251317512).

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

137085048 is a wasteful number, since it uses less digits than its factorization.

137085048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137085048 is about 11708.3324175563. The cubic root of 137085048 is about 515.6203264370.

The spelling of 137085048 in words is "one hundred thirty-seven million, eighty-five thousand, forty-eight".