145753380 has 36 divisors (see below), whose sum is σ = 442119132. Its totient is φ = 38867520.

The previous prime is 145753379. The next prime is 145753411. The reversal of 145753380 is 83357541.

145753380 is a `hidden beast` number, since 1 + 4 + 575 + 3 + 3 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 84162276 = 7848^2 + 9174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 404691 + ... + 405050.

It is an arithmetic number, because the mean of its divisors is an integer number (12281087).

Almost surely, 2^145753380 is an apocalyptic number.

145753380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145753380 is an abundant number, since it is smaller than the sum of its proper divisors (296365752).

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

145753380 is a wasteful number, since it uses less digits than its factorization.

145753380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809756 (or 809751 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 145753380 is about 12072.8364521350. The cubic root of 145753380 is about 526.2670890763.

It can be divided in two parts, 14575 and 3380, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 145753380 in words is "one hundred forty-five million, seven hundred fifty-three thousand, three hundred eighty".