145333515100 has 72 divisors (see below), whose sum is σ = 334197360000. Its totient is φ = 54669189120.

The previous prime is 145333514987. The next prime is 145333515137. The reversal of 145333515100 is 1515333541.

It is a super-2 number, since 2×145333515100² (a number of 23 digits) contains 22 as substring.

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, 2089077 + ... + 2157523.

It is an arithmetic number, because the mean of its divisors is an integer number (4641630000).

Almost surely, 2^145333515100 is an apocalyptic number.

145333515100 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 145333515100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167098680000).

145333515100 is an abundant number, since it is smaller than the sum of its proper divisors (188863844900).

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

145333515100 is a wasteful number, since it uses less digits than its factorization.

145333515100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69727 (or 69720 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 145333515100 its reverse (1515333541), we get a palindrome (146848848641).

The spelling of 145333515100 in words is "one hundred forty-five billion, three hundred thirty-three million, five hundred fifteen thousand, one hundred".