152020800 has 504 divisors, whose sum is σ = 619085376. Its totient is φ = 36495360.

The previous prime is 152020769. The next prime is 152020831. The reversal of 152020800 is 8020251.

It is an interprime number because it is at equal distance from previous prime (152020769) and next prime (152020831).

It is a super-2 number, since 2×152020800² = 46220647265280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6609589 + ... + 6609611.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^152020800 is an apocalyptic number.

152020800 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 152020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

152020800 is an abundant number, since it is smaller than the sum of its proper divisors (467064576).

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

152020800 is a wasteful number, since it uses less digits than its factorization.

152020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152020800 is about 12329.6715284715. The cubic root of 152020800 is about 533.7046719474.

The spelling of 152020800 in words is "one hundred fifty-two million, twenty thousand, eight hundred".