152378688 has 168 divisors, whose sum is σ = 507000256. Its totient is φ = 39536640.

The previous prime is 152378687. The next prime is 152378719. The reversal of 152378688 is 886873251.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (645120) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152378687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162156 + ... + 163092.

Almost surely, 2^152378688 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 152378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253500128).

152378688 is an abundant number, since it is smaller than the sum of its proper divisors (354621568).

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

152378688 is a wasteful number, since it uses less digits than its factorization.

152378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 152378688 is about 12344.1762787154. The cubic root of 152378688 is about 534.1231603032.

The spelling of 152378688 in words is "one hundred fifty-two million, three hundred seventy-eight thousand, six hundred eighty-eight".