152732007267840 has 5760 divisors, whose sum is σ = 770733682887168. Its totient is φ = 28473387909120.

The previous prime is 152732007267823. The next prime is 152732007267997. The reversal of 152732007267840 is 48762700237251.

It is a happy number.

152732007267840 is a `hidden beast` number, since 1 + 5 + 273 + 200 + 72 + 67 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 161279838247 + ... + 161279839193.

Almost surely, 2^{152732007267840} is an apocalyptic number.

152732007267840 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 152732007267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385366841443584).

152732007267840 is an abundant number, since it is smaller than the sum of its proper divisors (618001675619328).

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

152732007267840 is a wasteful number, since it uses less digits than its factorization.

152732007267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 152732007267840 in words is "one hundred fifty-two trillion, seven hundred thirty-two billion, seven million, two hundred sixty-seven thousand, eight hundred forty".