152949174048 has 240 divisors, whose sum is σ = 502127863776. Its totient is φ = 45270005760.

The previous prime is 152949174043. The next prime is 152949174083. The reversal of 152949174048 is 840471949251.

152949174048 is a `hidden beast` number, since 1 + 529 + 4 + 9 + 1 + 74 + 0 + 48 = 666.

152949174048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 152949173985 and 152949174003.

It is not an unprimeable number, because it can be changed into a prime (152949174043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1163640 + ... + 1288392.

Almost surely, 2^152949174048 is an apocalyptic number.

152949174048 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 152949174048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251063931888).

152949174048 is an abundant number, since it is smaller than the sum of its proper divisors (349178689728).

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

152949174048 is a wasteful number, since it uses less digits than its factorization.

152949174048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124829 (or 124812 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 152949174048 in words is "one hundred fifty-two billion, nine hundred forty-nine million, one hundred seventy-four thousand, forty-eight".