149264 has 20 divisors (see below), whose sum is σ = 305040. Its totient is φ = 70560.

The previous prime is 149257. The next prime is 149269. The reversal of 149264 is 462941.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149264.

It is not an unprimeable number, because it can be changed into a prime (149269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (15252).

2¹⁴⁹²⁶⁴ 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 149264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152520).

149264 is an abundant number, since it is smaller than the sum of its proper divisors (155776).

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

149264 is a wasteful number, since it uses less digits than its factorization.

149264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 149264 is about 386.3469942940. The cubic root of 149264 is about 53.0458840813.

The spelling of 149264 in words is "one hundred forty-nine thousand, two hundred sixty-four".