153020400 has 240 divisors, whose sum is σ = 559901664. Its totient is φ = 35389440.

The previous prime is 153020363. The next prime is 153020401. The reversal of 153020400 is 4020351.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153020400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153020401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264912 + ... + 265488.

Almost surely, 2^153020400 is an apocalyptic number.

153020400 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 153020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279950832).

153020400 is an abundant number, since it is smaller than the sum of its proper divisors (406881264).

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

153020400 is a wasteful number, since it uses less digits than its factorization.

153020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 153020400 is about 12370.1414704926. The cubic root of 153020400 is about 534.8718940953.

Adding to 153020400 its reverse (4020351), we get a palindrome (157040751).

The spelling of 153020400 in words is "one hundred fifty-three million, twenty thousand, four hundred".