148757414400 has 1620 divisors, whose sum is σ = 662540194602. Its totient is φ = 31770869760.

The previous prime is 148757414359. The next prime is 148757414411. The reversal of 148757414400 is 4414757841.

148757414400 is a `hidden beast` number, since 148 + 7 + 57 + 414 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114482075904 + 34275338496 = 338352^2 + 185136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2037772764 + ... + 2037772836.

Almost surely, 2^148757414400 is an apocalyptic number.

148757414400 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 148757414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331270097301).

148757414400 is an abundant number, since it is smaller than the sum of its proper divisors (513782780202).

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

148757414400 is a wasteful number, since it uses less digits than its factorization.

148757414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 148757414400 in words is "one hundred forty-eight billion, seven hundred fifty-seven million, four hundred fourteen thousand, four hundred".