152466840 has 128 divisors (see below), whose sum is σ = 514944000. Its totient is φ = 40120704.

The previous prime is 152466827. The next prime is 152466859. The reversal of 152466840 is 48664251.

152466840 is a `hidden beast` number, since 152 + 466 + 8 + 40 = 666.

It is a super-2 number, since 2×152466840² = 46492274599171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152466795 and 152466804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84427 + ... + 86213.

It is an arithmetic number, because the mean of its divisors is an integer number (4023000).

Almost surely, 2^152466840 is an apocalyptic number.

152466840 is a gapful number since it is divisible by the number (10) 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 152466840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257472000).

152466840 is an abundant number, since it is smaller than the sum of its proper divisors (362477160).

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

152466840 is a wasteful number, since it uses less digits than its factorization.

152466840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 152466840 is about 12347.7463530800. The cubic root of 152466840 is about 534.2261382828.

The spelling of 152466840 in words is "one hundred fifty-two million, four hundred sixty-six thousand, eight hundred forty".