154659601152 has 1152 divisors, whose sum is σ = 583544012800. Its totient is φ = 39907676160.

The previous prime is 154659601123. The next prime is 154659601267. The reversal of 154659601152 is 251106956451.

154659601152 is a `hidden beast` number, since 1 + 5 + 4 + 6 + 596 + 0 + 1 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 154659601098 and 154659601107.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2308352223 + ... + 2308352289.

Almost surely, 2^154659601152 is an apocalyptic number.

154659601152 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 154659601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291772006400).

154659601152 is an abundant number, since it is smaller than the sum of its proper divisors (428884411648).

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

154659601152 is an frugal number, since it uses more digits than its factorization.

154659601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 154659601152 in words is "one hundred fifty-four billion, six hundred fifty-nine million, six hundred one thousand, one hundred fifty-two".