145140251540240 has 160 divisors (see below), whose sum is σ = 375102056967552. Its totient is φ = 51778621440000.

The previous prime is 145140251540231. The next prime is 145140251540279. The reversal of 145140251540240 is 42045152041541.

It is a junction number, because it is equal to n+sod(n) for n = 145140251540194 and 145140251540203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671554595 + ... + 671770685.

Almost surely, 2^{145140251540240} is an apocalyptic number.

145140251540240 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 145140251540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187551028483776).

145140251540240 is an abundant number, since it is smaller than the sum of its proper divisors (229961805427312).

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

145140251540240 is a wasteful number, since it uses less digits than its factorization.

145140251540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230569 (or 230563 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The spelling of 145140251540240 in words is "one hundred forty-five trillion, one hundred forty billion, two hundred fifty-one million, five hundred forty thousand, two hundred forty".