152314020 has 120 divisors (see below), whose sum is σ = 481529664. Its totient is φ = 40302144.

The previous prime is 152313991. The next prime is 152314037. The reversal of 152314020 is 20413251.

152314020 is a `hidden beast` number, since 1 + 523 + 140 + 2 + 0 = 666.

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 = 152313984 and 152314002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270259 + ... + 270821.

Almost surely, 2^152314020 is an apocalyptic number.

152314020 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 152314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240764832).

152314020 is an abundant number, since it is smaller than the sum of its proper divisors (329215644).

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

152314020 is a wasteful number, since it uses less digits than its factorization.

152314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

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

The square root of 152314020 is about 12341.5566279137. The cubic root of 152314020 is about 534.0475907592.

Adding to 152314020 its reverse (20413251), we get a palindrome (172727271).

The spelling of 152314020 in words is "one hundred fifty-two million, three hundred fourteen thousand, twenty".