149629134600 has 768 divisors, whose sum is σ = 603989913600. Its totient is φ = 33643008000.

The previous prime is 149629134553. The next prime is 149629134637. The reversal of 149629134600 is 6431926941.

149629134600 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 2 + 9 + 1 + 34 + 600 = 666.

It is a super-2 number, since 2×149629134600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71694757 + ... + 71696843.

It is an arithmetic number, because the mean of its divisors is an integer number (786445200).

Almost surely, 2^149629134600 is an apocalyptic number.

149629134600 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 149629134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301994956800).

149629134600 is an abundant number, since it is smaller than the sum of its proper divisors (454360779000).

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

149629134600 is a wasteful number, since it uses less digits than its factorization.

149629134600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 149629134600 in words is "one hundred forty-nine billion, six hundred twenty-nine million, one hundred thirty-four thousand, six hundred".