152742581038080 has 528 divisors, whose sum is σ = 596652964074720. Its totient is φ = 37028500439040.

The previous prime is 152742581038039. The next prime is 152742581038081. The reversal of 152742581038080 is 80830185247251.

It is a happy number.

152742581038080 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 4 + 258 + 1 + 0 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (152742581038081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12161302 + ... + 21292778.

Almost surely, 2^{152742581038080} is an apocalyptic number.

152742581038080 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 152742581038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298326482037360).

152742581038080 is an abundant number, since it is smaller than the sum of its proper divisors (443910383036640).

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

152742581038080 is a wasteful number, since it uses less digits than its factorization.

152742581038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131533 (or 9131498 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 152742581038080 in words is "one hundred fifty-two trillion, seven hundred forty-two billion, five hundred eighty-one million, thirty-eight thousand, eighty".