145400400 has 120 divisors (see below), whose sum is σ = 517556160. Its totient is φ = 38770560.

The previous prime is 145400399. The next prime is 145400413. The reversal of 145400400 is 4004541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×145400400² = 42282552640320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069 + ... + 17531.

It is an arithmetic number, because the mean of its divisors is an integer number (4312968).

Almost surely, 2^145400400 is an apocalyptic number.

145400400 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 145400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258778080).

145400400 is an abundant number, since it is smaller than the sum of its proper divisors (372155760).

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

145400400 is a wasteful number, since it uses less digits than its factorization.

145400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145400400 is about 12058.2088222090. The cubic root of 145400400 is about 525.8419144512.

Adding to 145400400 its reverse (4004541), we get a palindrome (149404941).

The spelling of 145400400 in words is "one hundred forty-five million, four hundred thousand, four hundred".