154451920 has 180 divisors, whose sum is σ = 442167012. Its totient is φ = 49996800.

The previous prime is 154451887. The next prime is 154451929. The reversal of 154451920 is 29154451.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 127328656 = 5208^2 + 11284^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154451929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3767100 + ... + 3767140.

Almost surely, 2^154451920 is an apocalyptic number.

154451920 is a gapful number since it is divisible by the number (10) 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 154451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221083506).

154451920 is an abundant number, since it is smaller than the sum of its proper divisors (287715092).

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

154451920 is a wasteful number, since it uses less digits than its factorization.

154451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 154451920 is about 12427.8686829239. The cubic root of 154451920 is about 536.5346451137.

The spelling of 154451920 in words is "one hundred fifty-four million, four hundred fifty-one thousand, nine hundred twenty".