153264 has 40 divisors (see below), whose sum is σ = 412672. Its totient is φ = 48960.

The previous prime is 153259. The next prime is 153269. The reversal of 153264 is 462351.

153264 = T₃₇ + T₃₈ + ... + T₉₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153259) and next prime (153269).

It is a self number, because there is not a number n which added to its sum of digits gives 153264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437 + ... + 1539.

2¹⁵³²⁶⁴ 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 153264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206336).

153264 is an abundant number, since it is smaller than the sum of its proper divisors (259408).

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

153264 is a wasteful number, since it uses less digits than its factorization.

153264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 153264 is about 391.4894634597. The cubic root of 153264 is about 53.5155572424.

It can be divided in two parts, 1532 and 64, that added together give a triangular number (1596 = T₅₆).

The spelling of 153264 in words is "one hundred fifty-three thousand, two hundred sixty-four".