153487152 has 360 divisors, whose sum is σ = 573472224. Its totient is φ = 37380096.

The previous prime is 153487141. The next prime is 153487189. The reversal of 153487152 is 251784351.

153487152 is a `hidden beast` number, since 1 + 534 + 8 + 71 + 52 = 666.

It is a super-2 number, since 2×153487152² = 47116611658142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2895958 + ... + 2896010.

Almost surely, 2^153487152 is an apocalyptic number.

153487152 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 153487152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286736112).

153487152 is an abundant number, since it is smaller than the sum of its proper divisors (419985072).

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

153487152 is a wasteful number, since it uses less digits than its factorization.

153487152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 153487152 is about 12388.9931794315. The cubic root of 153487152 is about 535.4151748616.

It can be divided in two parts, 15348 and 7152, that added together give a square (22500 = 150²).

The spelling of 153487152 in words is "one hundred fifty-three million, four hundred eighty-seven thousand, one hundred fifty-two".