154147968 has 256 divisors, whose sum is σ = 507225600. Its totient is φ = 45785088.

The previous prime is 154147967. The next prime is 154147999. The reversal of 154147968 is 869741451.

154147968 is a `hidden beast` number, since 1 + 541 + 47 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (154147967) 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, 2111580 + ... + 2111652.

It is an arithmetic number, because the mean of its divisors is an integer number (1981350).

Almost surely, 2^154147968 is an apocalyptic number.

154147968 is a gapful number since it is divisible by the number (18) 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 154147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253612800).

154147968 is an abundant number, since it is smaller than the sum of its proper divisors (353077632).

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

154147968 is a wasteful number, since it uses less digits than its factorization.

154147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 154147968 is about 12415.6340152245. The cubic root of 154147968 is about 536.1824581176.

The spelling of 154147968 in words is "one hundred fifty-four million, one hundred forty-seven thousand, nine hundred sixty-eight".