152741481984 has 720 divisors, whose sum is σ = 558280955232. Its totient is φ = 39146913792.

The previous prime is 152741481947. The next prime is 152741481989. The reversal of 152741481984 is 489184147251.

It is a happy number.

152741481984 is a `hidden beast` number, since 1 + 5 + 2 + 74 + 1 + 481 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 152741481984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152741481989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775337374 + ... + 775337570.

Almost surely, 2^152741481984 is an apocalyptic number.

152741481984 is a gapful number since it is divisible by the number (14) 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 152741481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279140477616).

152741481984 is an abundant number, since it is smaller than the sum of its proper divisors (405539473248).

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

152741481984 is a wasteful number, since it uses less digits than its factorization.

152741481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 265 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 152741481984 in words is "one hundred fifty-two billion, seven hundred forty-one million, four hundred eighty-one thousand, nine hundred eighty-four".