145411294600 has 384 divisors, whose sum is σ = 416223360000. Its totient is φ = 46488499200.

The previous prime is 145411294547. The next prime is 145411294681. The reversal of 145411294600 is 6492114541.

It is a super-2 number, since 2×145411294600² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145411294600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291405151 + ... + 291405649.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915000).

Almost surely, 2^145411294600 is an apocalyptic number.

145411294600 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 145411294600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680000).

145411294600 is an abundant number, since it is smaller than the sum of its proper divisors (270812065400).

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

145411294600 is a wasteful number, since it uses less digits than its factorization.

145411294600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 145411294600 in words is "one hundred forty-five billion, four hundred eleven million, two hundred ninety-four thousand, six hundred".