145132156260000 has 5760 divisors, whose sum is σ = 706079582208000. Its totient is φ = 27982402560000.

The previous prime is 145132156259989. The next prime is 145132156260023. The reversal of 145132156260000 is 62651231541.

145132156260000 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 21 + 5 + 626 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 472743179847 + ... + 472743180153.

It is an arithmetic number, because the mean of its divisors is an integer number (122583260800).

Almost surely, 2^{145132156260000} is an apocalyptic number.

145132156260000 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 145132156260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353039791104000).

145132156260000 is an abundant number, since it is smaller than the sum of its proper divisors (560947425948000).

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

145132156260000 is a wasteful number, since it uses less digits than its factorization.

145132156260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 145132156260000 in words is "one hundred forty-five trillion, one hundred thirty-two billion, one hundred fifty-six million, two hundred sixty thousand".