152466336 has 288 divisors, whose sum is σ = 530712000. Its totient is φ = 40919040.

The previous prime is 152466329. The next prime is 152466371. The reversal of 152466336 is 633664251.

152466336 is a `hidden beast` number, since 15 + 2 + 4 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×152466336² = 46491967226529792, which contains 22 as substring.

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 152466336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023190 + ... + 1023338.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^152466336 is an apocalyptic number.

152466336 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 152466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

152466336 is an abundant number, since it is smaller than the sum of its proper divisors (378245664).

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

152466336 is a wasteful number, since it uses less digits than its factorization.

152466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 152466336 is about 12347.7259444806. The cubic root of 152466336 is about 534.2255496296.

The spelling of 152466336 in words is "one hundred fifty-two million, four hundred sixty-six thousand, three hundred thirty-six".