153782309952 has 42 divisors (see below), whose sum is σ = 440789226878. Its totient is φ = 51260769792.

The previous prime is 153782309921. The next prime is 153782309959. The reversal of 153782309952 is 259903287351.

153782309952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93254501376 + 60527808576 = 305376^2 + 246024^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (153782309959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133491013 + ... + 133492164.

Almost surely, 2^153782309952 is an apocalyptic number.

153782309952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153782309952 is an abundant number, since it is smaller than the sum of its proper divisors (287006916926).

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

153782309952 is a wasteful number, since it uses less digits than its factorization.

153782309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266983195 (or 266983182 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 153782309952 in words is "one hundred fifty-three billion, seven hundred eighty-two million, three hundred nine thousand, nine hundred fifty-two".