153140400 has 360 divisors, whose sum is σ = 623650560. Its totient is φ = 34076160.

The previous prime is 153140347. The next prime is 153140401. The reversal of 153140400 is 4041351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×153140400² = 46903964224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (153140401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1486749 + ... + 1486851.

Almost surely, 2^153140400 is an apocalyptic number.

153140400 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 153140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311825280).

153140400 is an abundant number, since it is smaller than the sum of its proper divisors (470510160).

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

153140400 is a wasteful number, since it uses less digits than its factorization.

153140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 153140400 is about 12374.9909090876. The cubic root of 153140400 is about 535.0116747096.

Adding to 153140400 its reverse (4041351), we get a palindrome (157181751).

The spelling of 153140400 in words is "one hundred fifty-three million, one hundred forty thousand, four hundred".