149676705360 has 1920 divisors, whose sum is σ = 701055129600. Its totient is φ = 29346250752.

The previous prime is 149676705337. The next prime is 149676705361. The reversal of 149676705360 is 63507676941.

It is a happy number.

149676705360 is a `hidden beast` number, since 1 + 49 + 6 + 7 + 67 + 0 + 536 + 0 = 666.

It is a super-2 number, since 2×149676705360² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 149676705297 and 149676705306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149676705361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1894641801 + ... + 1894641879.

It is an arithmetic number, because the mean of its divisors is an integer number (365132880).

Almost surely, 2^149676705360 is an apocalyptic number.

149676705360 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 149676705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350527564800).

149676705360 is an abundant number, since it is smaller than the sum of its proper divisors (551378424240).

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

149676705360 is a wasteful number, since it uses less digits than its factorization.

149676705360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 149676705360 in words is "one hundred forty-nine billion, six hundred seventy-six million, seven hundred five thousand, three hundred sixty".