149976109455360 has 384 divisors, whose sum is σ = 483757244006400. Its totient is φ = 39664537436160.

The previous prime is 149976109455343. The next prime is 149976109455373. The reversal of 149976109455360 is 63554901679941.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×149976109455360² (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 31 ways as a sum of consecutive naturals, for example, 15258526926 + ... + 15258536754.

It is an arithmetic number, because the mean of its divisors is an integer number (1259784489600).

Almost surely, 2^{149976109455360} is an apocalyptic number.

149976109455360 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 149976109455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241878622003200).

149976109455360 is an abundant number, since it is smaller than the sum of its proper divisors (333781134551040).

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

149976109455360 is a wasteful number, since it uses less digits than its factorization.

149976109455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13897 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 69.

The spelling of 149976109455360 in words is "one hundred forty-nine trillion, nine hundred seventy-six billion, one hundred nine million, four hundred fifty-five thousand, three hundred sixty".