137342688000 has 1152 divisors, whose sum is σ = 549976627200. Its totient is φ = 30346444800.

The previous prime is 137342687983. The next prime is 137342688001. The reversal of 137342688000 is 886243731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137342688001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1415903952 + ... + 1415904048.

Almost surely, 2^137342688000 is an apocalyptic number.

137342688000 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 137342688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274988313600).

137342688000 is an abundant number, since it is smaller than the sum of its proper divisors (412633939200).

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

137342688000 is an frugal number, since it uses more digits than its factorization.

137342688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 137342688000 in words is "one hundred thirty-seven billion, three hundred forty-two million, six hundred eighty-eight thousand".