137292709064 has 64 divisors (see below), whose sum is σ = 310513948800. Its totient is φ = 55593298944.

The previous prime is 137292709049. The next prime is 137292709079. The reversal of 137292709064 is 460907292731.

It is an interprime number because it is at equal distance from previous prime (137292709049) and next prime (137292709079).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223904 + ... + 569840.

It is an arithmetic number, because the mean of its divisors is an integer number (4851780450).

Almost surely, 2^137292709064 is an apocalyptic number.

137292709064 is a gapful number since it is divisible by the number (14) 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 137292709064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155256974400).

137292709064 is an abundant number, since it is smaller than the sum of its proper divisors (173221239736).

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

137292709064 is a wasteful number, since it uses less digits than its factorization.

137292709064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346342 (or 346338 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 137292709064 in words is "one hundred thirty-seven billion, two hundred ninety-two million, seven hundred nine thousand, sixty-four".