153738864 has 80 divisors (see below), whose sum is σ = 444138240. Its totient is φ = 50915520.

The previous prime is 153738863. The next prime is 153738883. The reversal of 153738864 is 468837351.

153738864 is a `hidden beast` number, since 1 + 537 + 38 + 86 + 4 = 666.

153738864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153738863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71079 + ... + 73209.

It is an arithmetic number, because the mean of its divisors is an integer number (5551728).

Almost surely, 2^153738864 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 153738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222069120).

153738864 is an abundant number, since it is smaller than the sum of its proper divisors (290399376).

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

153738864 is a wasteful number, since it uses less digits than its factorization.

153738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 153738864 is about 12399.1477126454. The cubic root of 153738864 is about 535.7077005819.

It can be divided in two parts, 1537 and 38864, that added together give a square (40401 = 201²).

The spelling of 153738864 in words is "one hundred fifty-three million, seven hundred thirty-eight thousand, eight hundred sixty-four".