145451440 has 40 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 56606976.

The previous prime is 145451437. The next prime is 145451459. The reversal of 145451440 is 44154541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×145451440² = 42312242796147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145451399 and 145451408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21610 + ... + 27529.

It is an arithmetic number, because the mean of its divisors is an integer number (8683038).

Almost surely, 2^145451440 is an apocalyptic number.

145451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145451440 is an abundant number, since it is smaller than the sum of its proper divisors (201870080).

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

145451440 is a wasteful number, since it uses less digits than its factorization.

145451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49189 (or 49183 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 145451440 is about 12060.3250370792. The cubic root of 145451440 is about 525.9034361331.

Subtracting from 145451440 its product of nonzero digits (6400), we obtain a triangular number (145445040 = T₁₇₀₅₅).

The spelling of 145451440 in words is "one hundred forty-five million, four hundred fifty-one thousand, four hundred forty".