152095456 has 48 divisors (see below), whose sum is σ = 323764560. Its totient is φ = 70087680.

The previous prime is 152095441. The next prime is 152095487. The reversal of 152095456 is 654590251.

It is a super-3 number, since 3×152095456³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19116 + ... + 25876.

It is an arithmetic number, because the mean of its divisors is an integer number (6745095).

Almost surely, 2^152095456 is an apocalyptic number.

152095456 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 152095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161882280).

152095456 is an abundant number, since it is smaller than the sum of its proper divisors (171669104).

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

152095456 is a wasteful number, since it uses less digits than its factorization.

152095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 152095456 is about 12332.6986503360. The cubic root of 152095456 is about 533.7920234488.

The spelling of 152095456 in words is "one hundred fifty-two million, ninety-five thousand, four hundred fifty-six".