149110295372640 has 384 divisors, whose sum is σ = 596777041566720. Its totient is φ = 34063161237504.

The previous prime is 149110295372593. The next prime is 149110295372659. The reversal of 149110295372640 is 46273592011941.

149110295372640 is a `hidden beast` number, since 1 + 4 + 91 + 1 + 0 + 295 + 3 + 7 + 264 + 0 = 666.

It is a super-2 number, since 2×149110295372640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52349059 + ... + 55123901.

It is an arithmetic number, because the mean of its divisors is an integer number (1554106879080).

Almost surely, 2^{149110295372640} is an apocalyptic number.

149110295372640 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 149110295372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298388520783360).

149110295372640 is an abundant number, since it is smaller than the sum of its proper divisors (447666746194080).

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

149110295372640 is a wasteful number, since it uses less digits than its factorization.

149110295372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776651 (or 2776637 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 149110295372640 in words is "one hundred forty-nine trillion, one hundred ten billion, two hundred ninety-five million, three hundred seventy-two thousand, six hundred forty".