152755739136 has 1920 divisors, whose sum is σ = 658307865600. Its totient is φ = 34279096320.

The previous prime is 152755739119. The next prime is 152755739153. The reversal of 152755739136 is 631937557251.

152755739136 is a `hidden beast` number, since 1 + 5 + 27 + 557 + 39 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (152755739119) and next prime (152755739153).

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 191 ways as a sum of consecutive naturals, for example, 1840430551 + ... + 1840430633.

It is an arithmetic number, because the mean of its divisors is an integer number (342868680).

Almost surely, 2^152755739136 is an apocalyptic number.

152755739136 is a gapful number since it is divisible by the number (16) 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 152755739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329153932800).

152755739136 is an abundant number, since it is smaller than the sum of its proper divisors (505552126464).

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

152755739136 is a wasteful number, since it uses less digits than its factorization.

152755739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 5953500, while the sum is 54.

The spelling of 152755739136 in words is "one hundred fifty-two billion, seven hundred fifty-five million, seven hundred thirty-nine thousand, one hundred thirty-six".