137906219520 has 1600 divisors, whose sum is σ = 577521964800. Its totient is φ = 31213486080.

The previous prime is 137906219483. The next prime is 137906219527. The reversal of 137906219520 is 25912609731.

It is a happy number.

137906219520 is a `hidden beast` number, since 1 + 37 + 90 + 6 + 2 + 1 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137906219527) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1942341085 + ... + 1942341155.

It is an arithmetic number, because the mean of its divisors is an integer number (360951228).

Almost surely, 2^137906219520 is an apocalyptic number.

137906219520 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 137906219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288760982400).

137906219520 is an abundant number, since it is smaller than the sum of its proper divisors (439615745280).

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

137906219520 is a wasteful number, since it uses less digits than its factorization.

137906219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 137906219520 in words is "one hundred thirty-seven billion, nine hundred six million, two hundred nineteen thousand, five hundred twenty".