152020000 has 120 divisors (see below), whose sum is σ = 408581712. Its totient is φ = 55200000.

The previous prime is 152019997. The next prime is 152020003. The reversal of 152020000 is 20251.

It is an interprime number because it is at equal distance from previous prime (152019997) and next prime (152020003).

It is a super-2 number, since 2×152020000² = 46220160800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (152020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219655 + ... + 220345.

Almost surely, 2^152020000 is an apocalyptic number.

152020000 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 152020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204290856).

152020000 is an abundant number, since it is smaller than the sum of its proper divisors (256561712).

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

152020000 is an equidigital number, since it uses as much as digits as its factorization.

152020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 152020000 is about 12329.6390863642. The cubic root of 152020000 is about 533.7037357498.

Adding to 152020000 its reverse (20251), we get a palindrome (152040251).

The spelling of 152020000 in words is "one hundred fifty-two million, twenty thousand".