145264688 has 40 divisors (see below), whose sum is σ = 294624000. Its totient is φ = 69253184.

The previous prime is 145264687. The next prime is 145264739. The reversal of 145264688 is 886462541.

It is a happy number.

It is a super-2 number, since 2×145264688² = 42203659159474688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145264687) 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, 220103 + ... + 220761.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2^145264688 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 145264688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

145264688 is an abundant number, since it is smaller than the sum of its proper divisors (149359312).

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

145264688 is a wasteful number, since it uses less digits than its factorization.

145264688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 145264688 is about 12052.5801387089. The cubic root of 145264688 is about 525.6782622832.

The spelling of 145264688 in words is "one hundred forty-five million, two hundred sixty-four thousand, six hundred eighty-eight".