152362848 has 96 divisors (see below), whose sum is σ = 439568640. Its totient is φ = 45826560.

The previous prime is 152362841. The next prime is 152362849. The reversal of 152362848 is 848263251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×152362848² = 46428874901342208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152362841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165333 + ... + 166251.

It is an arithmetic number, because the mean of its divisors is an integer number (4578840).

Almost surely, 2^152362848 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 152362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219784320).

152362848 is an abundant number, since it is smaller than the sum of its proper divisors (287205792).

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

152362848 is a wasteful number, since it uses less digits than its factorization.

152362848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 152362848 is about 12343.5346639445. The cubic root of 152362848 is about 534.1046520193.

The spelling of 152362848 in words is "one hundred fifty-two million, three hundred sixty-two thousand, eight hundred forty-eight".