152406144 has 256 divisors, whose sum is σ = 518976000. Its totient is φ = 43545600.

The previous prime is 152406131. The next prime is 152406161. The reversal of 152406144 is 441604251.

152406144 is a `hidden beast` number, since 1 + 5 + 2 + 40 + 614 + 4 = 666.

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

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, 722199 + ... + 722409.

It is an arithmetic number, because the mean of its divisors is an integer number (2027250).

Almost surely, 2^152406144 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 152406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259488000).

152406144 is an abundant number, since it is smaller than the sum of its proper divisors (366569856).

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

152406144 is a wasteful number, since it uses less digits than its factorization.

152406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152406144 is about 12345.2883319913. The cubic root of 152406144 is about 534.1552382904.

The spelling of 152406144 in words is "one hundred fifty-two million, four hundred six thousand, one hundred forty-four".