154916040 has 192 divisors, whose sum is σ = 510572160. Its totient is φ = 37509120.

The previous prime is 154916033. The next prime is 154916119. The reversal of 154916040 is 40619451.

It is a happy number.

154916040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 154915989 and 154916007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3778420 + ... + 3778460.

It is an arithmetic number, because the mean of its divisors is an integer number (2659230).

Almost surely, 2^154916040 is an apocalyptic number.

154916040 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 154916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

154916040 is an abundant number, since it is smaller than the sum of its proper divisors (355656120).

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

154916040 is a wasteful number, since it uses less digits than its factorization.

154916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 154916040 is about 12446.5272264998. The cubic root of 154916040 is about 537.0715272880.

The spelling of 154916040 in words is "one hundred fifty-four million, nine hundred sixteen thousand, forty".