154151696160 has 1728 divisors, whose sum is σ = 712079327232. Its totient is φ = 30792960000.

The previous prime is 154151696143. The next prime is 154151696213. The reversal of 154151696160 is 61696151451.

154151696160 is a `hidden beast` number, since 1 + 5 + 4 + 15 + 16 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1020872085 + ... + 1020872235.

It is an arithmetic number, because the mean of its divisors is an integer number (412082944).

Almost surely, 2^154151696160 is an apocalyptic number.

154151696160 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 154151696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356039663616).

154151696160 is an abundant number, since it is smaller than the sum of its proper divisors (557927631072).

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

154151696160 is a wasteful number, since it uses less digits than its factorization.

154151696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

It can be divided in two parts, 15415169 and 6160, that added together give a square (15421329 = 3927²).

The spelling of 154151696160 in words is "one hundred fifty-four billion, one hundred fifty-one million, six hundred ninety-six thousand, one hundred sixty".