149181409152 has 384 divisors, whose sum is σ = 467955371520. Its totient is φ = 47215872000.

The previous prime is 149181409133. The next prime is 149181409159. The reversal of 149181409152 is 251904181941.

It is a happy number.

149181409152 is a `hidden beast` number, since 1 + 4 + 91 + 8 + 1 + 409 + 152 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149181409098 and 149181409107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149181409159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108023502 + ... + 108024882.

It is an arithmetic number, because the mean of its divisors is an integer number (1218633780).

Almost surely, 2^149181409152 is an apocalyptic number.

149181409152 is a gapful number since it is divisible by the number (12) 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 149181409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233977685760).

149181409152 is an abundant number, since it is smaller than the sum of its proper divisors (318773962368).

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

149181409152 is a wasteful number, since it uses less digits than its factorization.

149181409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 149181409152 in words is "one hundred forty-nine billion, one hundred eighty-one million, four hundred nine thousand, one hundred fifty-two".