152114976 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 45093888.

The previous prime is 152114953. The next prime is 152114999. The reversal of 152114976 is 679411251.

152114976 is a `hidden beast` number, since 152 + 11 + 497 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (152114953) and next prime (152114999).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152114976.

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, 325495 + ... + 325961.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^152114976 is an apocalyptic number.

152114976 is a gapful number since it is divisible by the number (16) 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 152114976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

152114976 is an abundant number, since it is smaller than the sum of its proper divisors (343216224).

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

152114976 is a wasteful number, since it uses less digits than its factorization.

152114976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 152114976 is about 12333.4900170228. The cubic root of 152114976 is about 533.8148581756.

The spelling of 152114976 in words is "one hundred fifty-two million, one hundred fourteen thousand, nine hundred seventy-six".