152206020 has 96 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 40119552.

The previous prime is 152206003. The next prime is 152206031. The reversal of 152206020 is 20602251.

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

It is a junction number, because it is equal to n+sod(n) for n = 152205984 and 152206002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46477 + ... + 49643.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^152206020 is an apocalyptic number.

152206020 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 152206020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

152206020 is an abundant number, since it is smaller than the sum of its proper divisors (326795580).

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

152206020 is a wasteful number, since it uses less digits than its factorization.

152206020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152206020 is about 12337.1803909970. The cubic root of 152206020 is about 533.9213367273.

Adding to 152206020 its reverse (20602251), we get a palindrome (172808271).

The spelling of 152206020 in words is "one hundred fifty-two million, two hundred six thousand, twenty".