145629360 has 80 divisors (see below), whose sum is σ = 501619680. Its totient is φ = 38833920.

The previous prime is 145629343. The next prime is 145629371. The reversal of 145629360 is 63926541.

It is a happy number.

145629360 is a `hidden beast` number, since 1 + 4 + 562 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31551 + ... + 35870.

It is an arithmetic number, because the mean of its divisors is an integer number (6270246).

Almost surely, 2^145629360 is an apocalyptic number.

145629360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145629360 is an abundant number, since it is smaller than the sum of its proper divisors (355990320).

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

145629360 is a wasteful number, since it uses less digits than its factorization.

145629360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67443 (or 67431 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 145629360 is about 12067.6990350273. The cubic root of 145629360 is about 526.1177816983.

The spelling of 145629360 in words is "one hundred forty-five million, six hundred twenty-nine thousand, three hundred sixty".