137833887961000 has 1152 divisors, whose sum is σ = 421820716262400. Its totient is φ = 41990876928000.

The previous prime is 137833887960973. The next prime is 137833887961009. The reversal of 137833887961000 is 169788338731.

It is not an unprimeable number, because it can be changed into a prime (137833887961009) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48244271572 + ... + 48244274428.

It is an arithmetic number, because the mean of its divisors is an integer number (366163816200).

Almost surely, 2^{137833887961000} is an apocalyptic number.

137833887961000 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 137833887961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210910358131200).

137833887961000 is an abundant number, since it is smaller than the sum of its proper divisors (283986828301400).

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

137833887961000 is a wasteful number, since it uses less digits than its factorization.

137833887961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 137833887961000 in words is "one hundred thirty-seven trillion, eight hundred thirty-three billion, eight hundred eighty-seven million, nine hundred sixty-one thousand".