148150896680400 has 240 divisors, whose sum is σ = 486410779800960. Its totient is φ = 38522785996800.

The previous prime is 148150896680393. The next prime is 148150896680411. The reversal of 148150896680400 is 4086698051841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 91645524 + ... + 93248076.

It is an arithmetic number, because the mean of its divisors is an integer number (2026711582504).

Almost surely, 2^{148150896680400} is an apocalyptic number.

148150896680400 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 148150896680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243205389900480).

148150896680400 is an abundant number, since it is smaller than the sum of its proper divisors (338259883120560).

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

148150896680400 is a wasteful number, since it uses less digits than its factorization.

148150896680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604494 (or 1604483 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 148150896680400 in words is "one hundred forty-eight trillion, one hundred fifty billion, eight hundred ninety-six million, six hundred eighty thousand, four hundred".