152354020 has 96 divisors (see below), whose sum is σ = 398297088. Its totient is φ = 47665152.

The previous prime is 152353939. The next prime is 152354021. The reversal of 152354020 is 20453251.

It is a junction number, because it is equal to n+sod(n) for n = 152353982 and 152354000.

It is not an unprimeable number, because it can be changed into a prime (152354021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 176109 + ... + 176971.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^152354020 is an apocalyptic number.

152354020 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 152354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544).

152354020 is an abundant number, since it is smaller than the sum of its proper divisors (245943068).

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

152354020 is a wasteful number, since it uses less digits than its factorization.

152354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152354020 is about 12343.1770626529. The cubic root of 152354020 is about 534.0943363661.

The spelling of 152354020 in words is "one hundred fifty-two million, three hundred fifty-four thousand, twenty".