154991079936 has 1440 divisors, whose sum is σ = 615465607680. Its totient is φ = 38320128000.

The previous prime is 154991079931. The next prime is 154991079953. The reversal of 154991079936 is 639970199451.

154991079936 is a `hidden beast` number, since 1 + 5 + 499 + 107 + 9 + 9 + 36 = 666.

It is a super-3 number, since 3×154991079936³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (154991079931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2540837346 + ... + 2540837406.

It is an arithmetic number, because the mean of its divisors is an integer number (427406672).

Almost surely, 2^154991079936 is an apocalyptic number.

154991079936 is a gapful number since it is divisible by the number (16) 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 154991079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307732803840).

154991079936 is an abundant number, since it is smaller than the sum of its proper divisors (460474527744).

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

154991079936 is a wasteful number, since it uses less digits than its factorization.

154991079936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 154991079936 in words is "one hundred fifty-four billion, nine hundred ninety-one million, seventy-nine thousand, nine hundred thirty-six".