153114456 has 128 divisors (see below), whose sum is σ = 440432640. Its totient is φ = 43929600.

The previous prime is 153114449. The next prime is 153114457. The reversal of 153114456 is 654411351.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (153114457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433576 + ... + 433928.

It is an arithmetic number, because the mean of its divisors is an integer number (3440880).

Almost surely, 2^153114456 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 153114456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220216320).

153114456 is an abundant number, since it is smaller than the sum of its proper divisors (287318184).

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

153114456 is a wasteful number, since it uses less digits than its factorization.

153114456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 153114456 is about 12373.9426214930. The cubic root of 153114456 is about 534.9814603294.

The spelling of 153114456 in words is "one hundred fifty-three million, one hundred fourteen thousand, four hundred fifty-six".