137202048000 has 264 divisors, whose sum is σ = 494421735600. Its totient is φ = 36586905600.

The previous prime is 137202047989. The next prime is 137202048007. The reversal of 137202048000 is 840202731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137202048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092451 + ... + 1211549.

Almost surely, 2^137202048000 is an apocalyptic number.

137202048000 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 137202048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247210867800).

137202048000 is an abundant number, since it is smaller than the sum of its proper divisors (357219687600).

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

137202048000 is a wasteful number, since it uses less digits than its factorization.

137202048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119140 (or 119109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 137202048000 in words is "one hundred thirty-seven billion, two hundred two million, forty-eight thousand".