154853136 has 135 divisors (see below), whose sum is σ = 468036543. Its totient is φ = 47784960.

The previous prime is 154853129. The next prime is 154853141. The reversal of 154853136 is 631358451.

The square root of 154853136 is 12444.

It is a perfect power (a square), and thus also a powerful number.

154853136 is digitally balanced in base 2, 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 4 ways, for example, as 14288400 + 140564736 = 3780^2 + 11856^2 .

It is a super-3 number, since 3×154853136³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 154853136.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2538546 + ... + 2538606.

Almost surely, 2^154853136 is an apocalyptic number.

154853136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154853136 is the 12444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154853136

154853136 is an abundant number, since it is smaller than the sum of its proper divisors (313183407).

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

154853136 is a wasteful number, since it uses less digits than its factorization.

154853136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 83 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 154853136 is about 536.9988244203.

Multiplying 154853136 by its sum of digits (36), we get a square (5574712896 = 74664²).

154853136 divided by its sum of digits (36) gives a square (4301476 = 2074²).

The spelling of 154853136 in words is "one hundred fifty-four million, eight hundred fifty-three thousand, one hundred thirty-six".