145613361000 has 128 divisors (see below), whose sum is σ = 454546834560. Its totient is φ = 38810304000.

The previous prime is 145613360929. The next prime is 145613361001. The reversal of 145613361000 is 163316541.

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

It is not an unprimeable number, because it can be changed into a prime (145613361001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6381612 + ... + 6404388.

It is an arithmetic number, because the mean of its divisors is an integer number (3551147145).

Almost surely, 2^145613361000 is an apocalyptic number.

145613361000 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 145613361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227273417280).

145613361000 is an abundant number, since it is smaller than the sum of its proper divisors (308933473560).

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

145613361000 is a wasteful number, since it uses less digits than its factorization.

145613361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24932 (or 24918 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 145613361000 its reverse (163316541), we get a palindrome (145776677541).

The spelling of 145613361000 in words is "one hundred forty-five billion, six hundred thirteen million, three hundred sixty-one thousand".