152054400 has 192 divisors, whose sum is σ = 513002880. Its totient is φ = 39567360.

The previous prime is 152054393. The next prime is 152054417. The reversal of 152054400 is 4450251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451032 + ... + 451368.

It is an arithmetic number, because the mean of its divisors is an integer number (2671890).

Almost surely, 2^152054400 is an apocalyptic number.

152054400 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 152054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256501440).

152054400 is an abundant number, since it is smaller than the sum of its proper divisors (360948480).

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

152054400 is a wasteful number, since it uses less digits than its factorization.

152054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152054400 is about 12331.0340199028. The cubic root of 152054400 is about 533.7439892776.

The spelling of 152054400 in words is "one hundred fifty-two million, fifty-four thousand, four hundred".