145413400 has 96 divisors (see below), whose sum is σ = 372052080. Its totient is φ = 52416000.

The previous prime is 145413391. The next prime is 145413407. The reversal of 145413400 is 4314541.

It is a super-2 number, since 2×145413400² = 42290113799120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145413407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345190 + ... + 345610.

Almost surely, 2^145413400 is an apocalyptic number.

145413400 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 145413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186026040).

145413400 is an abundant number, since it is smaller than the sum of its proper divisors (226638680).

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

145413400 is a wasteful number, since it uses less digits than its factorization.

145413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145413400 is about 12058.7478620295. The cubic root of 145413400 is about 525.8575855249.

Adding to 145413400 its reverse (4314541), we get a palindrome (149727941).

The spelling of 145413400 in words is "one hundred forty-five million, four hundred thirteen thousand, four hundred".