149217536 has 54 divisors (see below), whose sum is σ = 322619850. Its totient is φ = 68849664.

The previous prime is 149217533. The next prime is 149217547. The reversal of 149217536 is 635712941.

It can be written as a sum of positive squares in 3 ways, for example, as 17977600 + 131239936 = 4240^2 + 11456^2 .

It is a super-2 number, since 2×149217536² = 44531746099822592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149217536.

It is not an unprimeable number, because it can be changed into a prime (149217533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41540 + ... + 44988.

Almost surely, 2^149217536 is an apocalyptic number.

149217536 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 149217536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161309925).

149217536 is an abundant number, since it is smaller than the sum of its proper divisors (173402314).

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

149217536 is an equidigital number, since it uses as much as digits as its factorization.

149217536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3464 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 149217536 is about 12215.4629875417. The cubic root of 149217536 is about 530.4037933857.

The spelling of 149217536 in words is "one hundred forty-nine million, two hundred seventeen thousand, five hundred thirty-six".