9138452400 has 1260 divisors, whose sum is σ = 42468681136. Its totient is φ = 1847577600.

The previous prime is 9138452359. The next prime is 9138452429. The reversal of 9138452400 is 42548319.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×9138452400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 246985182 + ... + 246985218.

Almost surely, 2^9138452400 is an apocalyptic number.

9138452400 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 9138452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234340568).

9138452400 is an abundant number, since it is smaller than the sum of its proper divisors (33330228736).

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

9138452400 is a wasteful number, since it uses less digits than its factorization.

9138452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9138452400 is about 95595.2530202206. The cubic root of 9138452400 is about 2090.6959824277.

The spelling of 9138452400 in words is "nine billion, one hundred thirty-eight million, four hundred fifty-two thousand, four hundred".