154842240 has 256 divisors, whose sum is σ = 579882240. Its totient is φ = 34406400.

The previous prime is 154842221. The next prime is 154842253. The reversal of 154842240 is 42248451.

It is a super-2 number, since 2×154842240² = 47952238576435200, which contains 22 as substring.

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 = 154842198 and 154842207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550900 + ... + 551180.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 2^154842240 is an apocalyptic number.

154842240 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 154842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289941120).

154842240 is an abundant number, since it is smaller than the sum of its proper divisors (425040000).

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

154842240 is a wasteful number, since it uses less digits than its factorization.

154842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 154842240 is about 12443.5621909484. The cubic root of 154842240 is about 536.9862290959.

The spelling of 154842240 in words is "one hundred fifty-four million, eight hundred forty-two thousand, two hundred forty".