149166415157760 has 10080 divisors, whose sum is σ = 794631492735696. Its totient is φ = 26486872473600.

The previous prime is 149166415157723. The next prime is 149166415157783. The reversal of 149166415157760 is 67751514661941.

149166415157760 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 6 + 6 + 4 + 1 + 51 + 577 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18988538317056 + 130177876840704 = 4357584^2 + 11409552^2 .

It is a tau number, because it is divible by the number of its divisors (10080).

It is a super-2 number, since 2×149166415157760² (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 an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 2445351068130 + ... + 2445351068190.

Almost surely, 2^{149166415157760} is an apocalyptic number.

149166415157760 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 149166415157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397315746367848).

149166415157760 is an abundant number, since it is smaller than the sum of its proper divisors (645465077577936).

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

149166415157760 is a wasteful number, since it uses less digits than its factorization.

149166415157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 149166415157760 in words is "one hundred forty-nine trillion, one hundred sixty-six billion, four hundred fifteen million, one hundred fifty-seven thousand, seven hundred sixty".