137634048000 has 1152 divisors, whose sum is σ = 535750225920. Its totient is φ = 33914880000.

The previous prime is 137634047983. The next prime is 137634048011. The reversal of 137634048000 is 840436731.

137634048000 is a `hidden beast` number, since 13 + 7 + 634 + 0 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2928383977 + ... + 2928384023.

It is an arithmetic number, because the mean of its divisors is an integer number (465060960).

Almost surely, 2^137634048000 is an apocalyptic number.

137634048000 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 137634048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875112960).

137634048000 is an abundant number, since it is smaller than the sum of its proper divisors (398116177920).

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

137634048000 is a wasteful number, since it uses less digits than its factorization.

137634048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 137634048000 in words is "one hundred thirty-seven billion, six hundred thirty-four million, forty-eight thousand".