145307294547840 has 640 divisors, whose sum is σ = 522200586726720. Its totient is φ = 38503785922560.

The previous prime is 145307294547839. The next prime is 145307294547949. The reversal of 145307294547840 is 48745492703541.

145307294547840 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 7 + 2 + 9 + 4 + 547 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×145307294547840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23739139980 + ... + 23739146100.

Almost surely, 2^{145307294547840} is an apocalyptic number.

145307294547840 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 145307294547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261100293363360).

145307294547840 is an abundant number, since it is smaller than the sum of its proper divisors (376893292178880).

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

145307294547840 is a wasteful number, since it uses less digits than its factorization.

145307294547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 145307294547840 in words is "one hundred forty-five trillion, three hundred seven billion, two hundred ninety-four million, five hundred forty-seven thousand, eight hundred forty".