145221606140310 has 384 divisors, whose sum is σ = 448535020437504. Its totient is φ = 31899600195840.

The previous prime is 145221606140297. The next prime is 145221606140333. The reversal of 145221606140310 is 13041606122541.

145221606140310 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 1 + 6 + 0 + 614 + 0 + 31 + 0 = 666.

It is a super-2 number, since 2×145221606140310² (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 191 ways as a sum of consecutive naturals, for example, 3466964187 + ... + 3467006073.

It is an arithmetic number, because the mean of its divisors is an integer number (1168059949056).

Almost surely, 2^{145221606140310} is an apocalyptic number.

145221606140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145221606140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224267510218752).

145221606140310 is an abundant number, since it is smaller than the sum of its proper divisors (303313414297194).

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

145221606140310 is a wasteful number, since it uses less digits than its factorization.

145221606140310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43168 (or 43165 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 145221606140310 in words is "one hundred forty-five trillion, two hundred twenty-one billion, six hundred six million, one hundred forty thousand, three hundred ten".