154045140480 has 960 divisors, whose sum is σ = 686846324736. Its totient is φ = 30965760000.

The previous prime is 154045140479. The next prime is 154045140503. The reversal of 154045140480 is 84041540451.

154045140480 is digitally balanced in base 3, 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 (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54995080 + ... + 54997880.

Almost surely, 2^154045140480 is an apocalyptic number.

154045140480 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 154045140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343423162368).

154045140480 is an abundant number, since it is smaller than the sum of its proper divisors (532801184256).

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

154045140480 is a wasteful number, since it uses less digits than its factorization.

154045140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 154045140480 in words is "one hundred fifty-four billion, forty-five million, one hundred forty thousand, four hundred eighty".