145413000 has 192 divisors, whose sum is σ = 499374720. Its totient is φ = 38160000.

The previous prime is 145412999. The next prime is 145413001. The reversal of 145413000 is 314541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145412999) and next prime (145413001).

It is a super-2 number, since 2×145413000² = 42289881138000000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (145413001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962925 + ... + 963075.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 2^145413000 is an apocalyptic number.

145413000 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 145413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249687360).

145413000 is an abundant number, since it is smaller than the sum of its proper divisors (353961720).

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

145413000 is a wasteful number, since it uses less digits than its factorization.

145413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145413000 is about 12058.7312765481. The cubic root of 145413000 is about 525.8571033520.

Adding to 145413000 its reverse (314541), we get a palindrome (145727541).

The spelling of 145413000 in words is "one hundred forty-five million, four hundred thirteen thousand".