154990800 has 240 divisors, whose sum is σ = 560916480. Its totient is φ = 40642560.

The previous prime is 154990777. The next prime is 154990807. The reversal of 154990800 is 8099451.

154990800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154990807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220337 + ... + 1220463.

It is an arithmetic number, because the mean of its divisors is an integer number (2337152).

Almost surely, 2^154990800 is an apocalyptic number.

154990800 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 154990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280458240).

154990800 is an abundant number, since it is smaller than the sum of its proper divisors (405925680).

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

154990800 is a wasteful number, since it uses less digits than its factorization.

154990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 154990800 is about 12449.5301116147. The cubic root of 154990800 is about 537.1579074336.

The spelling of 154990800 in words is "one hundred fifty-four million, nine hundred ninety thousand, eight hundred".