152119968 has 192 divisors, whose sum is σ = 536481792. Its totient is φ = 36449280.

The previous prime is 152119937. The next prime is 152119973. The reversal of 152119968 is 869911251.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 95305 + ... + 96887.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2^152119968 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 152119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268240896).

152119968 is an abundant number, since it is smaller than the sum of its proper divisors (384361824).

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

152119968 is a wasteful number, since it uses less digits than its factorization.

152119968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 152119968 is about 12333.6923911698. The cubic root of 152119968 is about 533.8206975626.

It can be divided in two parts, 1521 and 19968, that multiplied together give a cube (30371328 = 312³).

The spelling of 152119968 in words is "one hundred fifty-two million, one hundred nineteen thousand, nine hundred sixty-eight".