145077408 has 72 divisors (see below), whose sum is σ = 471508128. Its totient is φ = 41450112.

The previous prime is 145077397. The next prime is 145077419. The reversal of 145077408 is 804770541.

It is an interprime number because it is at equal distance from previous prime (145077397) and next prime (145077419).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33966 + ... + 37997.

It is an arithmetic number, because the mean of its divisors is an integer number (6548724).

Almost surely, 2^145077408 is an apocalyptic number.

145077408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145077408 is an abundant number, since it is smaller than the sum of its proper divisors (326430720).

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

145077408 is a wasteful number, since it uses less digits than its factorization.

145077408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71986 (or 71975 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 145077408 is about 12044.8083421863. The cubic root of 145077408 is about 525.4522579125.

The spelling of 145077408 in words is "one hundred forty-five million, seventy-seven thousand, four hundred eight".