154161671040 has 768 divisors, whose sum is σ = 620890401600. Its totient is φ = 35931340800.

The previous prime is 154161671017. The next prime is 154161671077. The reversal of 154161671040 is 40176161451.

154161671040 is a `hidden beast` number, since 1 + 541 + 6 + 1 + 6 + 7 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 154161670986 and 154161671004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81094090 + ... + 81095990.

Almost surely, 2^154161671040 is an apocalyptic number.

154161671040 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 154161671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310445200800).

154161671040 is an abundant number, since it is smaller than the sum of its proper divisors (466728730560).

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

154161671040 is a wasteful number, since it uses less digits than its factorization.

154161671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 154161671040 in words is "one hundred fifty-four billion, one hundred sixty-one million, six hundred seventy-one thousand, forty".