145381971240 has 192 divisors, whose sum is σ = 519381720000. Its totient is φ = 34974950400.

The previous prime is 145381971211. The next prime is 145381971253. The reversal of 145381971240 is 42179183541.

145381971240 is a `hidden beast` number, since 1 + 4 + 538 + 1 + 9 + 71 + 2 + 40 = 666.

It is a super-2 number, since 2×145381971240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378636 + ... + 658884.

It is an arithmetic number, because the mean of its divisors is an integer number (2705113125).

Almost surely, 2^145381971240 is an apocalyptic number.

145381971240 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 145381971240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259690860000).

145381971240 is an abundant number, since it is smaller than the sum of its proper divisors (373999748760).

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

145381971240 is a wasteful number, since it uses less digits than its factorization.

145381971240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280408 (or 280401 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145381971240 in words is "one hundred forty-five billion, three hundred eighty-one million, nine hundred seventy-one thousand, two hundred forty".