153135400 has 96 divisors (see below), whose sum is σ = 396938880. Its totient is φ = 54464000.

The previous prime is 153135397. The next prime is 153135407. The reversal of 153135400 is 4531351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (153135407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102660 + ... + 104140.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^153135400 is an apocalyptic number.

153135400 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 153135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

153135400 is an abundant number, since it is smaller than the sum of its proper divisors (243803480).

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

153135400 is a wasteful number, since it uses less digits than its factorization.

153135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 153135400 is about 12374.7888870881. The cubic root of 153135400 is about 535.0058519755.

Adding to 153135400 its reverse (4531351), we get a palindrome (157666751).

The spelling of 153135400 in words is "one hundred fifty-three million, one hundred thirty-five thousand, four hundred".