145237161888 has 1728 divisors, whose sum is σ = 606811201920. Its totient is φ = 33359413248.

The previous prime is 145237161887. The next prime is 145237161917. The reversal of 145237161888 is 888161732541.

145237161888 is a `hidden beast` number, since 1 + 452 + 3 + 7 + 1 + 6 + 188 + 8 = 666.

It is a super-2 number, since 2×145237161888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2580480) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (145237161887) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3377608395 + ... + 3377608437.

It is an arithmetic number, because the mean of its divisors is an integer number (351163890).

Almost surely, 2^145237161888 is an apocalyptic number.

145237161888 is a gapful number since it is divisible by the number (18) 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 145237161888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303405600960).

145237161888 is an abundant number, since it is smaller than the sum of its proper divisors (461574040032).

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

145237161888 is a wasteful number, since it uses less digits than its factorization.

145237161888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 145237161888 in words is "one hundred forty-five billion, two hundred thirty-seven million, one hundred sixty-one thousand, eight hundred eighty-eight".