154842072 has 128 divisors (see below), whose sum is σ = 503746560. Its totient is φ = 38459520.

The previous prime is 154842059. The next prime is 154842073. The reversal of 154842072 is 270248451.

It is a super-2 number, since 2×154842072² = 47952134522506368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154842073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40683 + ... + 44325.

It is an arithmetic number, because the mean of its divisors is an integer number (3935520).

Almost surely, 2^154842072 is an apocalyptic number.

154842072 is a gapful number since it is divisible by the number (12) 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 154842072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251873280).

154842072 is an abundant number, since it is smaller than the sum of its proper divisors (348904488).

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

154842072 is a wasteful number, since it uses less digits than its factorization.

154842072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 154842072 is about 12443.5554404680. Note that the first 3 decimals coincide. The cubic root of 154842072 is about 536.9860348903.

The spelling of 154842072 in words is "one hundred fifty-four million, eight hundred forty-two thousand, seventy-two".