149984640 has 192 divisors, whose sum is σ = 558033840. Its totient is φ = 36900864.

The previous prime is 149984621. The next prime is 149984641. The reversal of 149984640 is 46489941.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149984641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73879 + ... + 75881.

Almost surely, 2^149984640 is an apocalyptic number.

149984640 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 149984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279016920).

149984640 is an abundant number, since it is smaller than the sum of its proper divisors (408049200).

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

149984640 is a wasteful number, since it uses less digits than its factorization.

149984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149984640 is about 12246.8216284879. The cubic root of 149984640 is about 531.3111479326.

The spelling of 149984640 in words is "one hundred forty-nine million, nine hundred eighty-four thousand, six hundred forty".