152014128 has 80 divisors (see below), whose sum is σ = 450209280. Its totient is φ = 43296768.

The previous prime is 152014127. The next prime is 152014129. The reversal of 152014128 is 821410251.

It is an interprime number because it is at equal distance from previous prime (152014127) and next prime (152014129).

It is a super-2 number, since 2×152014128² = 46216590223200768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 152014098 and 152014107.

It is not an unprimeable number, because it can be changed into a prime (152014127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163168 + ... + 164096.

It is an arithmetic number, because the mean of its divisors is an integer number (5627616).

Almost surely, 2^152014128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152014128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225104640).

152014128 is an abundant number, since it is smaller than the sum of its proper divisors (298195152).

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

152014128 is a wasteful number, since it uses less digits than its factorization.

152014128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 152014128 is about 12329.4009586841. The cubic root of 152014128 is about 533.6968639595.

Adding to 152014128 its reverse (821410251), we get a palindrome (973424379).

The spelling of 152014128 in words is "one hundred fifty-two million, fourteen thousand, one hundred twenty-eight".