154150633728 has 864 divisors, whose sum is σ = 580832458752. Its totient is φ = 38220595200.

The previous prime is 154150633723. The next prime is 154150633751. The reversal of 154150633728 is 827336051451.

It is a happy number.

154150633728 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 5 + 0 + 633 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×154150633728³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (154150633723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240484288 + ... + 240484928.

Almost surely, 2^154150633728 is an apocalyptic number.

154150633728 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 154150633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290416229376).

154150633728 is an abundant number, since it is smaller than the sum of its proper divisors (426681825024).

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

154150633728 is a wasteful number, since it uses less digits than its factorization.

154150633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 154150633728 in words is "one hundred fifty-four billion, one hundred fifty million, six hundred thirty-three thousand, seven hundred twenty-eight".