381601152 has 128 divisors (see below), whose sum is σ = 1137708000. Its totient is φ = 125908992.

The previous prime is 381601141. The next prime is 381601229. The reversal of 381601152 is 251106183.

381601152 is a `hidden beast` number, since 3 + 8 + 1 + 601 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376198 + ... + 377210.

Almost surely, 2^381601152 is an apocalyptic number.

381601152 is a gapful number since it is divisible by the number (32) 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 381601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568854000).

381601152 is an abundant number, since it is smaller than the sum of its proper divisors (756106848).

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

381601152 is a wasteful number, since it uses less digits than its factorization.

381601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 381601152 is about 19534.6142014630. The cubic root of 381601152 is about 725.3315341411.

The spelling of 381601152 in words is "three hundred eighty-one million, six hundred one thousand, one hundred fifty-two".