149333469626952 has 192 divisors, whose sum is σ = 437251627612800. Its totient is φ = 45769907312640.

The previous prime is 149333469626947. The next prime is 149333469627007. The reversal of 149333469626952 is 259626964333941.

149333469626952 is a `hidden beast` number, since 1 + 4 + 93 + 3 + 3 + 469 + 6 + 26 + 9 + 52 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3773981824 + ... + 3774021392.

It is an arithmetic number, because the mean of its divisors is an integer number (2277352227150).

Almost surely, 2^{149333469626952} is an apocalyptic number.

149333469626952 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 149333469626952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218625813806400).

149333469626952 is an abundant number, since it is smaller than the sum of its proper divisors (287918157985848).

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

149333469626952 is a wasteful number, since it uses less digits than its factorization.

149333469626952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55188 (or 55181 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 72.

The spelling of 149333469626952 in words is "one hundred forty-nine trillion, three hundred thirty-three billion, four hundred sixty-nine million, six hundred twenty-six thousand, nine hundred fifty-two".