146664553006140 has 384 divisors, whose sum is σ = 479123333176320. Its totient is φ = 33197537083392.

The previous prime is 146664553006009. The next prime is 146664553006163. The reversal of 146664553006140 is 41600355466641.

It is a super-2 number, since 2×146664553006140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126946362 + ... + 128096478.

It is an arithmetic number, because the mean of its divisors is an integer number (1247717013480).

Almost surely, 2^{146664553006140} is an apocalyptic number.

146664553006140 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 146664553006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239561666588160).

146664553006140 is an abundant number, since it is smaller than the sum of its proper divisors (332458780170180).

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

146664553006140 is a wasteful number, since it uses less digits than its factorization.

146664553006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150381 (or 1150379 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 146664553006140 in words is "one hundred forty-six trillion, six hundred sixty-four billion, five hundred fifty-three million, six thousand, one hundred forty".