137891520 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 32514048.

The previous prime is 137891473. The next prime is 137891521. The reversal of 137891520 is 25198731.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 (137891521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085697 + ... + 1085823.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^137891520 is an apocalyptic number.

137891520 is a gapful number since it is divisible by the number (10) 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 137891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

137891520 is an abundant number, since it is smaller than the sum of its proper divisors (394655040).

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

137891520 is a wasteful number, since it uses less digits than its factorization.

137891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 137891520 is about 11742.7220013079. The cubic root of 137891520 is about 516.6294823511.

The spelling of 137891520 in words is "one hundred thirty-seven million, eight hundred ninety-one thousand, five hundred twenty".