149717568 has 448 divisors, whose sum is σ = 573511680. Its totient is φ = 33177600.

The previous prime is 149717543. The next prime is 149717593. The reversal of 149717568 is 865717941.

It is an interprime number because it is at equal distance from previous prime (149717543) and next prime (149717593).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (423360) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651628 + ... + 3651668.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^149717568 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 149717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

149717568 is an abundant number, since it is smaller than the sum of its proper divisors (423794112).

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

149717568 is a wasteful number, since it uses less digits than its factorization.

149717568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 149717568 is about 12235.9130431693. The cubic root of 149717568 is about 530.9955986456.

It can be divided in two parts, 149 and 717568, that added together give a palindrome (717717).

The spelling of 149717568 in words is "one hundred forty-nine million, seven hundred seventeen thousand, five hundred sixty-eight".