154158144 has 112 divisors (see below), whose sum is σ = 486509568. Its totient is φ = 42121728.

The previous prime is 154158097. The next prime is 154158149. The reversal of 154158144 is 441851451.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (154158149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28419 + ... + 33405.

Almost surely, 2^154158144 is an apocalyptic number.

154158144 is a gapful number since it is divisible by the number (14) 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 154158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243254784).

154158144 is an abundant number, since it is smaller than the sum of its proper divisors (332351424).

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

154158144 is a wasteful number, since it uses less digits than its factorization.

154158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5022 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 154158144 is about 12416.0438143557. The cubic root of 154158144 is about 536.1942564624.

It can be divided in two parts, 1541 and 58144, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 154158144 in words is "one hundred fifty-four million, one hundred fifty-eight thousand, one hundred forty-four".