148051228145700 has 288 divisors, whose sum is σ = 470372247999360. Its totient is φ = 35656199884800.

The previous prime is 148051228145683. The next prime is 148051228145713. The reversal of 148051228145700 is 7541822150841.

It is a super-2 number, since 2×148051228145700² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148051228145700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345140554 + ... + 345569246.

It is an arithmetic number, because the mean of its divisors is an integer number (1633236972220).

Almost surely, 2^{148051228145700} is an apocalyptic number.

148051228145700 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 148051228145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235186123999680).

148051228145700 is an abundant number, since it is smaller than the sum of its proper divisors (322321019853660).

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

148051228145700 is a wasteful number, since it uses less digits than its factorization.

148051228145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429407 (or 429400 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 148051228145700 in words is "one hundred forty-eight trillion, fifty-one billion, two hundred twenty-eight million, one hundred forty-five thousand, seven hundred".