15135233400 has 384 divisors, whose sum is σ = 61638912000. Its totient is φ = 3339947520.

The previous prime is 15135233359. The next prime is 15135233453. The reversal of 15135233400 is 433253151.

15135233400 is a `hidden beast` number, since 15 + 13 + 5 + 233 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1089297 + ... + 1103103.

It is an arithmetic number, because the mean of its divisors is an integer number (160518000).

Almost surely, 2^15135233400 is an apocalyptic number.

15135233400 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 15135233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30819456000).

15135233400 is an abundant number, since it is smaller than the sum of its proper divisors (46503678600).

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

15135233400 is a wasteful number, since it uses less digits than its factorization.

15135233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 15135233400 its reverse (433253151), we get a palindrome (15568486551).

The spelling of 15135233400 in words is "fifteen billion, one hundred thirty-five million, two hundred thirty-three thousand, four hundred".