137380209408 has 432 divisors, whose sum is σ = 444762348576. Its totient is φ = 42042654720.

The previous prime is 137380209401. The next prime is 137380209427. The reversal of 137380209408 is 804902083731.

137380209408 is a `hidden beast` number, since 1 + 3 + 7 + 38 + 0 + 209 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (137380209401) 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, 207836598 + ... + 207837258.

Almost surely, 2^137380209408 is an apocalyptic number.

137380209408 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 137380209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222381174288).

137380209408 is an abundant number, since it is smaller than the sum of its proper divisors (307382139168).

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

137380209408 is an equidigital number, since it uses as much as digits as its factorization.

137380209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 137380209408 in words is "one hundred thirty-seven billion, three hundred eighty million, two hundred nine thousand, four hundred eight".