152648496 has 320 divisors, whose sum is σ = 589962240. Its totient is φ = 36495360.

The previous prime is 152648479. The next prime is 152648501. The reversal of 152648496 is 694846251.

152648496 is a `hidden beast` number, since 152 + 6 + 4 + 8 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432256 + ... + 432608.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^152648496 is an apocalyptic number.

152648496 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 152648496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294981120).

152648496 is an abundant number, since it is smaller than the sum of its proper divisors (437313744).

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

152648496 is a wasteful number, since it uses less digits than its factorization.

152648496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 152648496 is about 12355.0999995953. The cubic root of 152648496 is about 534.4382212674.

The spelling of 152648496 in words is "one hundred fifty-two million, six hundred forty-eight thousand, four hundred ninety-six".