145960051140 has 240 divisors, whose sum is σ = 479922613632. Its totient is φ = 37064231424.

The previous prime is 145960051109. The next prime is 145960051169. The reversal of 145960051140 is 41150069541.

145960051140 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 600 + 5 + 1 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145960051095 and 145960051104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8449392 + ... + 8466648.

Almost surely, 2^145960051140 is an apocalyptic number.

145960051140 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 145960051140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239961306816).

145960051140 is an abundant number, since it is smaller than the sum of its proper divisors (333962562492).

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

145960051140 is a wasteful number, since it uses less digits than its factorization.

145960051140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17528 (or 17517 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 145960051140 in words is "one hundred forty-five billion, nine hundred sixty million, fifty-one thousand, one hundred forty".