152053200 has 450 divisors, whose sum is σ = 620242854. Its totient is φ = 35458560.

The previous prime is 152053199. The next prime is 152053201. The reversal of 152053200 is 2350251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152053199) and next prime (152053201).

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 151585344 = 684^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152053201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8002791 + ... + 8002809.

Almost surely, 2^152053200 is an apocalyptic number.

152053200 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 152053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310121427).

152053200 is an abundant number, since it is smaller than the sum of its proper divisors (468189654).

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

152053200 is a wasteful number, since it uses less digits than its factorization.

152053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152053200 is about 12330.9853620868. The cubic root of 152053200 is about 533.7425851870.

The spelling of 152053200 in words is "one hundred fifty-two million, fifty-three thousand, two hundred".