149436625708080 has 800 divisors, whose sum is σ = 548363600269056. Its totient is φ = 37670413713408.

The previous prime is 149436625708079. The next prime is 149436625708081. The reversal of 149436625708080 is 80807526634941.

149436625708080 is a `hidden beast` number, since 1 + 49 + 436 + 6 + 2 + 5 + 7 + 0 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (149436625708079) and next prime (149436625708081).

It is a super-2 number, since 2×149436625708080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149436625707999 and 149436625708017.

It is not an unprimeable number, because it can be changed into a prime (149436625708081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1543766242 + ... + 1543863038.

It is a 2-persistent number, because it is pandigital, and so is 2⋅149436625708080 = 298873251416160, but 3⋅149436625708080 = 448309877124240 is not.

Almost surely, 2^{149436625708080} is an apocalyptic number.

149436625708080 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 149436625708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274181800134528).

149436625708080 is an abundant number, since it is smaller than the sum of its proper divisors (398926974560976).

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

149436625708080 is a wasteful number, since it uses less digits than its factorization.

149436625708080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97043 (or 97028 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 149436625708080 in words is "one hundred forty-nine trillion, four hundred thirty-six billion, six hundred twenty-five million, seven hundred eight thousand, eighty".