154920480 has 384 divisors, whose sum is σ = 598461696. Its totient is φ = 33177600.

The previous prime is 154920457. The next prime is 154920481. The reversal of 154920480 is 84029451.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (154920481) 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 63 ways as a sum of consecutive naturals, for example, 2539650 + ... + 2539710.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^154920480 is an apocalyptic number.

154920480 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 154920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

154920480 is an abundant number, since it is smaller than the sum of its proper divisors (443541216).

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

154920480 is a wasteful number, since it uses less digits than its factorization.

154920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 154920480 is about 12446.7055882270. The cubic root of 154920480 is about 537.0766581851.

The spelling of 154920480 in words is "one hundred fifty-four million, nine hundred twenty thousand, four hundred eighty".