145178400 has 144 divisors (see below), whose sum is σ = 476407008. Its totient is φ = 38400000.

The previous prime is 145178387. The next prime is 145178413. The reversal of 145178400 is 4871541.

It is a Cunningham number, because it is equal to 12049²-1.

It is an interprime number because it is at equal distance from previous prime (145178387) and next prime (145178413).

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

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 23 ways as a sum of consecutive naturals, for example, 578275 + ... + 578525.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^145178400 is an apocalyptic number.

145178400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238203504).

145178400 is an abundant number, since it is smaller than the sum of its proper divisors (331228608).

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

145178400 is a wasteful number, since it uses less digits than its factorization.

145178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 145178400 is about 12048.9999585028. Note that the first 4 decimals coincide. The cubic root of 145178400 is about 525.5741564361.

The spelling of 145178400 in words is "one hundred forty-five million, one hundred seventy-eight thousand, four hundred".