145564692 has 144 divisors (see below), whose sum is σ = 431686080. Its totient is φ = 37836288.

The previous prime is 145564691. The next prime is 145564721. The reversal of 145564692 is 296465541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145564691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047159 + ... + 1047297.

It is an arithmetic number, because the mean of its divisors is an integer number (2997820).

Almost surely, 2^145564692 is an apocalyptic number.

145564692 is a gapful number since it is divisible by the number (12) 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 145564692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215843040).

145564692 is an abundant number, since it is smaller than the sum of its proper divisors (286121388).

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

145564692 is a wasteful number, since it uses less digits than its factorization.

145564692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 145564692 is about 12065.0193534863. The cubic root of 145564692 is about 526.0398944234.

The spelling of 145564692 in words is "one hundred forty-five million, five hundred sixty-four thousand, six hundred ninety-two".