154134800 has 60 divisors (see below), whose sum is σ = 376439076. Its totient is φ = 60633600.

The previous prime is 154134781. The next prime is 154134809. The reversal of 154134800 is 8431451.

It can be written as a sum of positive squares in 6 ways, for example, as 26173456 + 127961344 = 5116^2 + 11312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 154134800.

It is not an unprimeable number, because it can be changed into a prime (154134809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21242 + ... + 27558.

Almost surely, 2^154134800 is an apocalyptic number.

154134800 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 154134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188219538).

154134800 is an abundant number, since it is smaller than the sum of its proper divisors (222304276).

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

154134800 is a wasteful number, since it uses less digits than its factorization.

154134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 154134800 is about 12415.1037047622. The cubic root of 154134800 is about 536.1671899919.

The spelling of 154134800 in words is "one hundred fifty-four million, one hundred thirty-four thousand, eight hundred".