152539414240 has 96 divisors (see below), whose sum is σ = 381891210624. Its totient is φ = 57378693120.

The previous prime is 152539414231. The next prime is 152539414271. The reversal of 152539414240 is 42414935251.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 152539414193 and 152539414202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3325542 + ... + 3371098.

It is an arithmetic number, because the mean of its divisors is an integer number (3978033444).

Almost surely, 2^152539414240 is an apocalyptic number.

152539414240 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 152539414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190945605312).

152539414240 is an abundant number, since it is smaller than the sum of its proper divisors (229351796384).

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

152539414240 is a wasteful number, since it uses less digits than its factorization.

152539414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46820 (or 46812 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 152539414240 in words is "one hundred fifty-two billion, five hundred thirty-nine million, four hundred fourteen thousand, two hundred forty".