149998191616 has 495 divisors, whose sum is σ = 399767069781. Its totient is φ = 56216788992.

The previous prime is 149998191613. The next prime is 149998191617. The reversal of 149998191616 is 616191899941.

The square root of 149998191616 is 387296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22189081600 + 127809110016 = 148960^2 + 357504^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149998191611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7894641655 + ... + 7894641673.

Almost surely, 2^149998191616 is an apocalyptic number.

149998191616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149998191616 is the 387296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149998191616

149998191616 is an abundant number, since it is smaller than the sum of its proper divisors (249768878165).

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

149998191616 is an frugal number, since it uses more digits than its factorization.

149998191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 41 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 64.

Multiplying 149998191616 by its sum of digits (64), we get a square (9599884263424 = 3098368²).

149998191616 divided by its sum of digits (64) gives a square (2343721744 = 48412²).

The spelling of 149998191616 in words is "one hundred forty-nine billion, nine hundred ninety-eight million, one hundred ninety-one thousand, six hundred sixteen".