145429320 has 32 divisors (see below), whose sum is σ = 436288320. Its totient is φ = 38781120.

The previous prime is 145429301. The next prime is 145429321. The reversal of 145429320 is 23924541.

It is a super-2 number, since 2×145429320² = 42299374231324800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145429321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605836 + ... + 606075.

It is an arithmetic number, because the mean of its divisors is an integer number (13634010).

Almost surely, 2^145429320 is an apocalyptic number.

145429320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145429320 is an abundant number, since it is smaller than the sum of its proper divisors (290859000).

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

145429320 is a wasteful number, since it uses less digits than its factorization.

145429320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211925 (or 1211921 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145429320 is about 12059.4079456663. The cubic root of 145429320 is about 525.8767752907.

The spelling of 145429320 in words is "one hundred forty-five million, four hundred twenty-nine thousand, three hundred twenty".