153745152 has 72 divisors (see below), whose sum is σ = 446409600. Its totient is φ = 46586880.

The previous prime is 153745147. The next prime is 153745157. The reversal of 153745152 is 251547351.

It is an interprime number because it is at equal distance from previous prime (153745147) and next prime (153745157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153745157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652 + ... + 17547.

Almost surely, 2^153745152 is an apocalyptic number.

153745152 is a gapful number since it is divisible by the number (12) 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 153745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

153745152 is an abundant number, since it is smaller than the sum of its proper divisors (292664448).

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

153745152 is a wasteful number, since it uses less digits than its factorization.

153745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18229 (or 18215 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 153745152 is about 12399.4012758681. The cubic root of 153745152 is about 535.7150040574.

The spelling of 153745152 in words is "one hundred fifty-three million, seven hundred forty-five thousand, one hundred fifty-two".