149034276864 has 960 divisors, whose sum is σ = 524003800320. Its totient is φ = 41750691840.

The previous prime is 149034276847. The next prime is 149034276877. The reversal of 149034276864 is 468672430941.

149034276864 is a `hidden beast` number, since 1 + 490 + 3 + 4 + 2 + 76 + 86 + 4 = 666.

It is a super-2 number, since 2×149034276864² (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 self number, because there is not a number n which added to its sum of digits gives 149034276864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2224392159 + ... + 2224392225.

It is an arithmetic number, because the mean of its divisors is an integer number (545837292).

Almost surely, 2^149034276864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149034276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262001900160).

149034276864 is an abundant number, since it is smaller than the sum of its proper divisors (374969523456).

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

149034276864 is a wasteful number, since it uses less digits than its factorization.

149034276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 149034276864 in words is "one hundred forty-nine billion, thirty-four million, two hundred seventy-six thousand, eight hundred sixty-four".