145269210988440 has 2688 divisors, whose sum is σ = 650601866880000. Its totient is φ = 28482995312640.

The previous prime is 145269210988397. The next prime is 145269210988469. The reversal of 145269210988440 is 44889012962541.

It is a happy number.

145269210988440 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 9 + 2 + 109 + 88 + 440 = 666.

It is a super-2 number, since 2×145269210988440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 163775885677 + ... + 163775886563.

It is an arithmetic number, because the mean of its divisors is an integer number (242039385000).

Almost surely, 2^{145269210988440} is an apocalyptic number.

145269210988440 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 145269210988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325300933440000).

145269210988440 is an abundant number, since it is smaller than the sum of its proper divisors (505332655891560).

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

145269210988440 is a wasteful number, since it uses less digits than its factorization.

145269210988440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 145269210988440 in words is "one hundred forty-five trillion, two hundred sixty-nine billion, two hundred ten million, nine hundred eighty-eight thousand, four hundred forty".