150799968 has 288 divisors, whose sum is σ = 508540032. Its totient is φ = 43545600.

The previous prime is 150799967. The next prime is 150799981. The reversal of 150799968 is 869997051.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150799967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3506955 + ... + 3506997.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 2^150799968 is an apocalyptic number.

150799968 is a gapful number since it is divisible by the number (18) 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 150799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).

150799968 is an abundant number, since it is smaller than the sum of its proper divisors (357740064).

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

150799968 is a wasteful number, since it uses less digits than its factorization.

150799968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 150799968 is about 12280.0638434822. The cubic root of 150799968 is about 532.2721580315.

It can be divided in two parts, 1507 and 99968, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 150799968 in words is "one hundred fifty million, seven hundred ninety-nine thousand, nine hundred sixty-eight".