149300114146560 has 1728 divisors, whose sum is σ = 637402411795968. Its totient is φ = 33084766420992.

The previous prime is 149300114146531. The next prime is 149300114146567. The reversal of 149300114146560 is 65641411003941.

It is a happy number.

149300114146560 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 0 + 0 + 1 + 1 + 41 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×149300114146560³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149300114146567) 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 191 ways as a sum of consecutive naturals, for example, 1580969104 + ... + 1581063536.

It is an arithmetic number, because the mean of its divisors is an integer number (368867136456).

Almost surely, 2^{149300114146560} is an apocalyptic number.

149300114146560 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 149300114146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318701205897984).

149300114146560 is an abundant number, since it is smaller than the sum of its proper divisors (488102297649408).

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

149300114146560 is a wasteful number, since it uses less digits than its factorization.

149300114146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94522 (or 94496 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 149300114146560 in words is "one hundred forty-nine trillion, three hundred billion, one hundred fourteen million, one hundred forty-six thousand, five hundred sixty".