137930148720 has 480 divisors, whose sum is σ = 603652113792. Its totient is φ = 27389657088.

The previous prime is 137930148691. The next prime is 137930148739. The reversal of 137930148720 is 27841039731.

137930148720 is a `hidden beast` number, since 137 + 9 + 30 + 1 + 487 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1051924 + ... + 1175756.

Almost surely, 2^137930148720 is an apocalyptic number.

137930148720 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 137930148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301826056896).

137930148720 is an abundant number, since it is smaller than the sum of its proper divisors (465721965072).

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

137930148720 is a wasteful number, since it uses less digits than its factorization.

137930148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123889 (or 123880 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 137930148720 in words is "one hundred thirty-seven billion, nine hundred thirty million, one hundred forty-eight thousand, seven hundred twenty".