152130400 has 72 divisors (see below), whose sum is σ = 373101120. Its totient is φ = 60572160.

The previous prime is 152130373. The next prime is 152130403. The reversal of 152130400 is 4031251.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152130403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317361 + ... + 317839.

It is an arithmetic number, because the mean of its divisors is an integer number (5181960).

Almost surely, 2^152130400 is an apocalyptic number.

152130400 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 152130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186550560).

152130400 is an abundant number, since it is smaller than the sum of its proper divisors (220970720).

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

152130400 is a wasteful number, since it uses less digits than its factorization.

152130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 152130400 is about 12334.1152905265. The cubic root of 152130400 is about 533.8328999717.

Adding to 152130400 its reverse (4031251), we get a palindrome (156161651).

The spelling of 152130400 in words is "one hundred fifty-two million, one hundred thirty thousand, four hundred".