153381956 has 72 divisors (see below), whose sum is σ = 356141016. Its totient is φ = 57093120.

The previous prime is 153381937. The next prime is 153381959. The reversal of 153381956 is 659183351.

It can be written as a sum of positive squares in 4 ways, for example, as 13764100 + 139617856 = 3710^2 + 11816^2 .

It is not an unprimeable number, because it can be changed into a prime (153381959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41546 + ... + 45086.

It is an arithmetic number, because the mean of its divisors is an integer number (4946403).

Almost surely, 2^153381956 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 153381956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178070508).

153381956 is an abundant number, since it is smaller than the sum of its proper divisors (202759060).

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

153381956 is a wasteful number, since it uses less digits than its factorization.

153381956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3580 counting only the distinct ones).

The product of its digits is 97200, while the sum is 41.

The square root of 153381956 is about 12384.7469090006. The cubic root of 153381956 is about 535.2928271462.

The spelling of 153381956 in words is "one hundred fifty-three million, three hundred eighty-one thousand, nine hundred fifty-six".