151388400 has 240 divisors, whose sum is σ = 528903648. Its totient is φ = 36864000.

The previous prime is 151388399. The next prime is 151388437. The reversal of 151388400 is 4883151.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836310 + ... + 836490.

Almost surely, 2^151388400 is an apocalyptic number.

151388400 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 151388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264451824).

151388400 is an abundant number, since it is smaller than the sum of its proper divisors (377515248).

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

151388400 is a wasteful number, since it uses less digits than its factorization.

151388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 151388400 is about 12303.9993498049. Note that the first 3 decimals coincide. The cubic root of 151388400 is about 532.9635805202.

The spelling of 151388400 in words is "one hundred fifty-one million, three hundred eighty-eight thousand, four hundred".