152552400 has 480 divisors, whose sum is σ = 661291008. Its totient is φ = 29030400.

The previous prime is 152552381. The next prime is 152552461. The reversal of 152552400 is 4255251.

152552400 = 1525² + 1526² + ... + 1587².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1201137 + ... + 1201263.

Almost surely, 2^152552400 is an apocalyptic number.

152552400 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 152552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330645504).

152552400 is an abundant number, since it is smaller than the sum of its proper divisors (508738608).

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

152552400 is a wasteful number, since it uses less digits than its factorization.

152552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 152552400 is about 12351.2104669947. The cubic root of 152552400 is about 534.3260503708.

The spelling of 152552400 in words is "one hundred fifty-two million, five hundred fifty-two thousand, four hundred".