145137453348888 has 768 divisors, whose sum is σ = 574111741056000. Its totient is φ = 32966696632320.

The previous prime is 145137453348791. The next prime is 145137453348913. The reversal of 145137453348888 is 888843354731541.

145137453348888 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 7 + 4 + 533 + 4 + 8 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43583256 + ... + 46795032.

It is an arithmetic number, because the mean of its divisors is an integer number (747541329500).

Almost surely, 2^{145137453348888} is an apocalyptic number.

145137453348888 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 145137453348888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287055870528000).

145137453348888 is an abundant number, since it is smaller than the sum of its proper divisors (428974287707112).

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

145137453348888 is a wasteful number, since it uses less digits than its factorization.

145137453348888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211853 (or 3211832 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 145137453348888 in words is "one hundred forty-five trillion, one hundred thirty-seven billion, four hundred fifty-three million, three hundred forty-eight thousand, eight hundred eighty-eight".