149288517504 has 256 divisors, whose sum is σ = 512092224000. Its totient is φ = 41930514432.

The previous prime is 149288517487. The next prime is 149288517533. The reversal of 149288517504 is 405715882941.

149288517504 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 88 + 51 + 7 + 504 = 666.

It is a super-2 number, since 2×149288517504² (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 congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1375032 + ... + 1479624.

It is an arithmetic number, because the mean of its divisors is an integer number (2000360250).

Almost surely, 2^149288517504 is an apocalyptic number.

149288517504 is a gapful number since it is divisible by the number (14) 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 149288517504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256046112000).

149288517504 is an abundant number, since it is smaller than the sum of its proper divisors (362803706496).

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

149288517504 is a wasteful number, since it uses less digits than its factorization.

149288517504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104682 (or 104664 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 149288517504 in words is "one hundred forty-nine billion, two hundred eighty-eight million, five hundred seventeen thousand, five hundred four".