150735152016 has 160 divisors (see below), whose sum is σ = 466761553920. Its totient is φ = 46397085696.

The previous prime is 150735151981. The next prime is 150735152041. The reversal of 150735152016 is 610251537051.

It is a happy number.

150735152016 is a `hidden beast` number, since 1 + 5 + 0 + 73 + 51 + 520 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195601 + ... + 582863.

It is an arithmetic number, because the mean of its divisors is an integer number (2917259712).

Almost surely, 2^150735152016 is an apocalyptic number.

150735152016 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 150735152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233380776960).

150735152016 is an abundant number, since it is smaller than the sum of its proper divisors (316026401904).

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

150735152016 is a wasteful number, since it uses less digits than its factorization.

150735152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387350 (or 387338 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 150735152016 its reverse (610251537051), we get a palindrome (760986689067).

The spelling of 150735152016 in words is "one hundred fifty billion, seven hundred thirty-five million, one hundred fifty-two thousand, sixteen".