9137138400 has 864 divisors, whose sum is σ = 37125623808. Its totient is φ = 2098483200.

The previous prime is 9137138389. The next prime is 9137138407. The reversal of 9137138400 is 48317319.

It is a happy number.

9137138400 is a `hidden beast` number, since 91 + 37 + 138 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9137138407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136375167 + ... + 136375233.

It is an arithmetic number, because the mean of its divisors is an integer number (42969472).

Almost surely, 2^9137138400 is an apocalyptic number.

9137138400 is a gapful number since it is divisible by the number (90) 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 9137138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562811904).

9137138400 is an abundant number, since it is smaller than the sum of its proper divisors (27988485408).

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

9137138400 is a wasteful number, since it uses less digits than its factorization.

9137138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9137138400 is about 95588.3800469492. The cubic root of 9137138400 is about 2090.5957719442.

The spelling of 9137138400 in words is "nine billion, one hundred thirty-seven million, one hundred thirty-eight thousand, four hundred".