149525764667136 has 4320 divisors, whose sum is σ = 590051590768640. Its totient is φ = 37247164416000.

The previous prime is 149525764667113. The next prime is 149525764667161. The reversal of 149525764667136 is 631766467525941.

149525764667136 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 2 + 576 + 46 + 6 + 7 + 1 + 3 + 6 = 666.

149525764667136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×149525764667136³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 826109196966 + ... + 826109197146.

Almost surely, 2^{149525764667136} is an apocalyptic number.

149525764667136 is a gapful number since it is divisible by the number (16) 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 149525764667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295025795384320).

149525764667136 is an abundant number, since it is smaller than the sum of its proper divisors (440525826101504).

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

149525764667136 is a wasteful number, since it uses less digits than its factorization.

149525764667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 303 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 149525764667136 in words is "one hundred forty-nine trillion, five hundred twenty-five billion, seven hundred sixty-four million, six hundred sixty-seven thousand, one hundred thirty-six".