152610376128 has 168 divisors, whose sum is σ = 470317598352. Its totient is φ = 43546116096.

The previous prime is 152610376117. The next prime is 152610376141. The reversal of 152610376128 is 821673016251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 152610376128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7488000 + ... + 7508352.

It is an arithmetic number, because the mean of its divisors is an integer number (2799509514).

Almost surely, 2^152610376128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152610376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235158799176).

152610376128 is an abundant number, since it is smaller than the sum of its proper divisors (317707222224).

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

152610376128 is a wasteful number, since it uses less digits than its factorization.

152610376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 152610376128 in words is "one hundred fifty-two billion, six hundred ten million, three hundred seventy-six thousand, one hundred twenty-eight".