137395077120 has 1536 divisors, whose sum is σ = 618314860800. Its totient is φ = 28538044416.

The previous prime is 137395077109. The next prime is 137395077181. The reversal of 137395077120 is 21770593731.

137395077120 is a `hidden beast` number, since 1 + 3 + 73 + 9 + 507 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 4737761266 + ... + 4737761294.

Almost surely, 2^137395077120 is an apocalyptic number.

137395077120 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 137395077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309157430400).

137395077120 is an abundant number, since it is smaller than the sum of its proper divisors (480919783680).

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

137395077120 is an frugal number, since it uses more digits than its factorization.

137395077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 137395077120 in words is "one hundred thirty-seven billion, three hundred ninety-five million, seventy-seven thousand, one hundred twenty".