145262618900 has 144 divisors (see below), whose sum is σ = 363331495296. Its totient is φ = 49380334080.

The previous prime is 145262618819. The next prime is 145262618903. The reversal of 145262618900 is 9816262541.

It is a super-2 number, since 2×145262618900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145262618903) 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, 43712639 + ... + 43715961.

It is an arithmetic number, because the mean of its divisors is an integer number (2523135384).

Almost surely, 2^145262618900 is an apocalyptic number.

145262618900 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 145262618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181665747648).

145262618900 is an abundant number, since it is smaller than the sum of its proper divisors (218068876396).

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

145262618900 is a wasteful number, since it uses less digits than its factorization.

145262618900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 145262618900 in words is "one hundred forty-five billion, two hundred sixty-two million, six hundred eighteen thousand, nine hundred".