145542632614500 has 576 divisors, whose sum is σ = 471118776920064. Its totient is φ = 34885136000000.

The previous prime is 145542632614487. The next prime is 145542632614501. The reversal of 145542632614500 is 5416236245541.

It is a super-2 number, since 2×145542632614500² (a number of 29 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 145542632614500.

It is not an unprimeable number, because it can be changed into a prime (145542632614501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14170244365 + ... + 14170254635.

It is an arithmetic number, because the mean of its divisors is an integer number (817914543264).

Almost surely, 2^{145542632614500} is an apocalyptic number.

145542632614500 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 145542632614500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235559388460032).

145542632614500 is an abundant number, since it is smaller than the sum of its proper divisors (325576144305564).

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

145542632614500 is a wasteful number, since it uses less digits than its factorization.

145542632614500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 145542632614500 in words is "one hundred forty-five trillion, five hundred forty-two billion, six hundred thirty-two million, six hundred fourteen thousand, five hundred".